Wrong schema generation of type in a Generic List Attribute

[CArOgNa]

I have a trouble generating a schema for List property, i.e.:

        public string str { get; set; } = "";
        public List<string> strList { get; set; } = null; 

the generated schema is:

    "str": {
      "type": [
        "string",
        "null"
      ]
    },
    "strList": {
      "$id": "System.Collections.Generic.List`1[[System.String, System.Private.CoreLib, Version=6.0.0.0, Culture=neutral, PublicKeyToken=7cec85d7bea7798e]]",
      "type": [
        "array",
        "null"
      ],
      "items": {
        "type": [
          "string",
          "null"
        ]
      }
    },

using this peace of code:
I generate the schema using this code:

            JSchemaGenerator generator = new JSchemaGenerator();
            generator.GenerationProviders.Add(new StringEnumGenerationProvider());
            generator.SchemaIdGenerationHandling = SchemaIdGenerationHandling.FullTypeName;
            return generator.Generate(type).ToString(Newtonsoft.Json.Schema.SchemaVersion.Draft2019_09);

The expected schema is something like this:

    "str": {
      "type": [
        "string",
        "null"
      ]
    },
    "strList": {
      "$id": "System.Collections.Generic.List`1[string]",
      "type": [
        "array",
        "null"
      ],
      "items": {
        "type": [
          "string",
          "null"
        ]
      }
    },

so is seems that type used in generic List attribute, the SchemaIdGenerationHandling.FullTypeName generator parameter is loosed and "SchemaIdGenerationHandling.AssemblyQualifiedName" used.