Maybe Rust will offer such stability in the future. But that's of no use to people and organizations who need to develop software today, and who need to be able to trust that the code they write now will compile and work tomorrow, a month from now, a year from now, and perhaps even decades from now.
C++ does offer stable, standardized, well-supported versions of the language. C++ does offer stable, standardized, well-supported standard libraries. There are numerous high-quality free and commercial C++ implementations available, for just about every platform imaginable. It provides a robust and predictable platform that serious and massive software systems can be built upon.
The theoretical benefits that Rust may bring are pretty much irrelevant as long as it isn't a production-ready language in the way that C++ is.