But the CLR doesn't support that. If you compile C++ code to IL then you'll get a compiler error if you use any types that use multiple-inheritance. The CLR's underlying type system is a huge limitation when it comes to using even simple modern ADTs.
For example, in F# you can define a union type, and the union subtypes can contain normal library types, but you cannot define a library type as a union subtype, whereas you can in TypeScript (and Rust too, I think?).
If you want to see it for yourself, take some .cpp file, and compile it with cl.exe /clr:pure /O2 /FAs. The latter switch will dump the IL assembly into the corresponding .asm file. Or you can inspect the output with ILSpy etc. You'll see that it compiles native C++ types down to CLR structs with no fields, but with explicitly set size (via StructLayout.Explicit); and then uses pointer arithmetic to access field values.
Anyway, the point is that it's possible within CLR constraints. There's just not much demand for it, and it's effectively a whole separate CPU arch for the compiler to support, in addition to x86/x64/ARM.
The other thing is - people always forget that, unlike JVM, CLR has more than just the object layer. By design, it has enough low-level constructs to compile a language like C++, complete with multiple inheritance, unions, varargs etc. Obviously, you can do pretty much anything on top of that - the only problem is that you won't be able to interop with other .NET code, except through C-style FFI. But, hypothetically, it would be possible to establish a higher-level ABI without baking it into the VM as an object model, thus allowing a reboot without throwing everything away.