Why does the Roslyn compiler generate local functions with the internal access modifier (in IL, assembly) instead of private?

    private void M()
    {
        bool f = true;
        bool x1() => f;
        static bool x2() => true;
    }

    .method assembly hidebysig static
        bool '<M>g__x1|0_0' (
            valuetype C/'<>c__DisplayClass0_0'& ''
        ) cil managed { ... }

    .method assembly hidebysig static
        bool '<M>g__x2|0_1' () cil managed { ... }

sharplab.io

Docs say that it should be private: https://docs.microsoft.com/en-us/dotnet/csharp/programming-guide/classes-and-structs/local-functions

Local functions are private methods of a type that are nested in another member.

Because all local functions are private, including an access modifier, such as the private keyword, generates compiler error CS0106