diff --git a/src/RecursiveApply/RecursiveApply.jl b/src/RecursiveApply/RecursiveApply.jl
index dfe1907ac8..e42aec00ca 100755
--- a/src/RecursiveApply/RecursiveApply.jl
+++ b/src/RecursiveApply/RecursiveApply.jl
@@ -9,19 +9,51 @@ module RecursiveApply
 
 export ⊞, ⊠, ⊟
 
+# These functions need to be generated for type stability (since T.parameters is
+# a SimpleVector, the compiler cannot always infer its size and elements).
+@generated first_param(::Type{T}) where {T} = :($(first(T.parameters)))
+@generated tail_params(::Type{T}) where {T} =
+    :($(Tuple{Base.tail((T.parameters...,))...}))
+
+# Applying `rmaptype` returns `Tuple{...}` for tuple
+# types, which cannot follow the recursion pattern as
+# it cannot be splatted, so we add a separate method,
+# `rmaptype_Tuple`, for the part of the recursion.
+rmaptype_Tuple(fn::F, ::Type{Tuple{}}) where {F} = ()
+rmaptype_Tuple(fn::F, ::Type{T}) where {F, E, T <: Tuple{E}} =
+    (rmaptype(fn, first_param(T)),)
+rmaptype_Tuple(fn::F, ::Type{T}) where {F, T <: Tuple} =
+    (rmaptype(fn, first_param(T)), rmaptype_Tuple(fn, tail_params(T))...)
+
+rmaptype_Tuple(_, ::Type{Tuple{}}, ::Type{T}) where {T <: Tuple} = ()
+rmaptype_Tuple(_, ::Type{T}, ::Type{Tuple{}}) where {T <: Tuple} = ()
+rmaptype_Tuple(
+    fn::F,
+    ::Type{T1},
+    ::Type{T2},
+) where {F, T1 <: Tuple, T2 <: Tuple} = (
+    rmaptype(fn, first_param(T1), first_param(T2)),
+    rmaptype_Tuple(rmaptype, fn, tail_params(T1), tail_params(T2))...,
+)
+
 """
     rmap(fn, X...)
 
 Recursively apply `fn` to each element of `X`
 """
 rmap(fn::F, X) where {F} = fn(X)
+rmap(fn::F, X::Tuple{}) where {F} = ()
+rmap(fn::F, X::Tuple) where {F} =
+    (rmap(fn, first(X)), rmap(fn, Base.tail(X))...)
+rmap(fn::F, X::NamedTuple{names}) where {F, names} =
+    NamedTuple{names}(rmap(fn, Tuple(X)))
+
 rmap(fn::F, X, Y) where {F} = fn(X, Y)
-rmap(fn::F, X::Tuple) where {F} = map(x -> rmap(fn, x), X)
-rmap(fn, X::Tuple{}, Y::Tuple{}) = ()
+rmap(fn::F, X::Tuple{}, Y::Tuple{}) where {F} = ()
+rmap(fn::F, X::Tuple{}, Y::Tuple) where {F} = ()
+rmap(fn::F, X::Tuple, Y::Tuple{}) where {F} = ()
 rmap(fn::F, X::Tuple, Y::Tuple) where {F} =
     (rmap(fn, first(X), first(Y)), rmap(fn, Base.tail(X), Base.tail(Y))...)
-rmap(fn::F, X::NamedTuple{names}) where {F, names} =
-    NamedTuple{names}(rmap(fn, Tuple(X)))
 rmap(fn::F, X::NamedTuple{names}, Y::NamedTuple{names}) where {F, names} =
     NamedTuple{names}(rmap(fn, Tuple(X), Tuple(Y)))
 
@@ -32,17 +64,45 @@ rmax(X, Y) = rmap(max, X, Y)
 
 """
     rmaptype(fn, T)
+    rmaptype(fn, T1, T2)
 
-The return type of `rmap(fn, X::T)`.
+Recursively apply `fn` to each type parameter of the type `T`, or to each type
+parameter of the types `T1` and `T2`, where `fn` returns a type.
 """
 rmaptype(fn::F, ::Type{T}) where {F, T} = fn(T)
 rmaptype(fn::F, ::Type{T}) where {F, T <: Tuple} =
-    Tuple{map(fn, tuple(T.parameters...))...}
+    Tuple{rmaptype_Tuple(fn, T)...}
+rmaptype(fn::F, ::Type{T}) where {F, names, Tup, T <: NamedTuple{names, Tup}} =
+    NamedTuple{names, rmaptype(fn, Tup)}
+
+rmaptype(fn::F, ::Type{T1}, ::Type{T2}) where {F, T1, T2} = fn(T1, T2)
+rmaptype(fn::F, ::Type{T1}, ::Type{T2}) where {F, T1 <: Tuple, T2 <: Tuple} =
+    Tuple{rmaptype_Tuple(fn, T1, T2)...}
 rmaptype(
     fn::F,
-    ::Type{T},
-) where {F, T <: NamedTuple{names, tup}} where {names, tup} =
-    NamedTuple{names, rmaptype(fn, tup)}
+    ::Type{T1},
+    ::Type{T2},
+) where {
+    F,
+    names,
+    Tup1,
+    Tup2,
+    T1 <: NamedTuple{names, Tup1},
+    T2 <: NamedTuple{names, Tup2},
+} = NamedTuple{names, rmaptype(fn, Tup1, Tup2)}
+
+"""
+    rzero(T)
+
+Recursively compute the zero value of type `T`.
+"""
+rzero(::Type{T}) where {T} = zero(T)
+rzero(::Type{Tuple{}}) = ()
+rzero(::Type{T}) where {E, T <: Tuple{E}} = (rzero(E),)
+rzero(::Type{T}) where {T <: Tuple} =
+    (rzero(first_param(T)), rzero(tail_params(T))...)
+rzero(::Type{Tup}) where {names, T, Tup <: NamedTuple{names, T}} =
+    NamedTuple{names}(rzero(T))
 
 """
     rmul(X, Y)
diff --git a/src/Spaces/dss.jl b/src/Spaces/dss.jl
index abb955dabe..b5df5db645 100644
--- a/src/Spaces/dss.jl
+++ b/src/Spaces/dss.jl
@@ -836,7 +836,7 @@ function dss_local_vertices!(
             sum_data = mapreduce(
                 ⊞,
                 vertex;
-                init = RecursiveApply.rmap(zero, slab(perimeter_data, 1, 1)[1]),
+                init = RecursiveApply.rzero(eltype(slab(perimeter_data, 1, 1))),
             ) do (lidx, vert)
                 ip = Topologies.perimeter_vertex_node_index(vert)
                 perimeter_slab = slab(perimeter_data, level, lidx)
@@ -906,9 +906,8 @@ function dss_local_ghost!(
                 sum_data = mapreduce(
                     ⊞,
                     vertex;
-                    init = RecursiveApply.rmap(
-                        zero,
-                        slab(perimeter_data, 1, 1)[1],
+                    init = RecursiveApply.rzero(
+                        eltype(slab(perimeter_data, 1, 1)),
                     ),
                 ) do (isghost, idx, vert)
                     ip = Topologies.perimeter_vertex_node_index(vert)
diff --git a/test/Operators/spectralelement/benchmark_ops.jl b/test/Operators/spectralelement/benchmark_ops.jl
index 2dd94ab424..f11469dd22 100644
--- a/test/Operators/spectralelement/benchmark_ops.jl
+++ b/test/Operators/spectralelement/benchmark_ops.jl
@@ -138,7 +138,7 @@ using JET
         p = @allocated kernel_complicated_field_dss!(kernel_args)
         @test p == 0
         p = @allocated kernel_complicated_field2_dss!(kernel_args)
-        @test_broken p == 0
+        @test p == 0
         # Inference tests
         JET.@test_opt kernel_scalar_dss!(kernel_args)
         JET.@test_opt kernel_vector_dss!(kernel_args)
@@ -146,6 +146,6 @@ using JET
         JET.@test_opt kernel_ntuple_field_dss!(kernel_args)
         JET.@test_opt kernel_ntuple_floats_dss!(kernel_args)
         JET.@test_opt kernel_complicated_field_dss!(kernel_args)
-        # JET.@test_opt kernel_complicated_field2_dss!(kernel_args) # fails
+        JET.@test_opt kernel_complicated_field2_dss!(kernel_args)
     end
 end
diff --git a/test/RecursiveApply/recursive_apply.jl b/test/RecursiveApply/recursive_apply.jl
index 72c7d0d61d..cf9966505c 100644
--- a/test/RecursiveApply/recursive_apply.jl
+++ b/test/RecursiveApply/recursive_apply.jl
@@ -38,3 +38,42 @@ end
               RecursiveApply.rmul(x, FT(2))
     end
 end
+
+@testset "Highly nested types" begin
+    FT = Float64
+    nested_types = [
+        FT,
+        Tuple{FT, FT},
+        NamedTuple{(:ϕ, :ψ), Tuple{FT, FT}},
+        Tuple{
+            NamedTuple{(:ϕ, :ψ), Tuple{FT, FT}},
+            NamedTuple{(:ϕ, :ψ), Tuple{FT, FT}},
+        },
+        Tuple{FT, FT},
+        NamedTuple{
+            (:ρ, :uₕ, :ρe_tot, :ρq_tot, :sgs⁰, :sgsʲs),
+            Tuple{
+                FT,
+                Tuple{FT, FT},
+                FT,
+                FT,
+                NamedTuple{(:ρatke,), Tuple{FT}},
+                Tuple{NamedTuple{(:ρa, :ρae_tot, :ρaq_tot), Tuple{FT, FT, FT}}},
+            },
+        },
+        NamedTuple{
+            (:u₃, :sgsʲs),
+            Tuple{Tuple{FT}, Tuple{NamedTuple{(:u₃,), Tuple{Tuple{FT}}}}},
+        },
+    ]
+    for nt in nested_types
+        rz = RecursiveApply.rmap(RecursiveApply.rzero, nt)
+        @test typeof(rz) == nt
+        @inferred RecursiveApply.rmap(RecursiveApply.rzero, nt)
+    end
+    for nt in nested_types
+        rz = RecursiveApply.rmaptype(identity, nt)
+        @test rz == nt
+        @inferred RecursiveApply.rmaptype(zero, nt)
+    end
+end