It's not really true that C++ does not have an ABI advantage over Rust if (by your own comment) they both end up using the C abi. Although pedants will insist that C is not a subset of C++, practically speaking you can write idiomatic C perfectly fine that will compile with a C++ compiler, and much C code in the wild is actually written this way. And most moderately experienced C++ developers are very comfortable with all of these elements and syntax (like pointers, goto, C style callbacks, etc), because they are a subset of their own language. It's very straightforward to have your API be C (and therefore have a stable ABI) but do implementation in C++. Even some C standard libraries do this.

In summary, if you're writing a C API/ABI, source compatibility is still a major advantage, there is no two ways around it.