The debugger is proprietary but still works cross-platform. I don't know how Jetbrains does C# debugging in Rider exactly, but that shows that you don't have to use VS (Code) to do C# development if you don't want to.

Thanks to Samsung of all companies, there's an open source C# debugger on GitHub (https://github.com/Samsung/netcoredbg). That seems to be the basis of the open source C# extension's debugging capabilities: https://open-vsx.org/extension/muhammad-sammy/csharp

The VSCodium C# community wants Microsoft to open source their debugger instead of having to maintain an open source version themselves, but that doesn't mean you need to use Microsoft's open source version. If anything, this forceful separation makes it so that there never will be only one implementation (like there is for languages like Rust which have always been open and therefore only have one way of doing things).

I know about netcoredbg, but I did not have much success using it. If we count this as the C# debugger, then the tooling quality is not comparable to other mainstream languages like Scala, D or Julia.

JetBrains have their own closed debugger, which doesn't really help.

Since Rust is native code, you can use pretty much any debugger for it, there is definitely not a single implementation. Yes, Rust has a single compiler, but does C# have any other compiler than Microsoft's Roslyn? (I don't think this is a problem, though)