It's the bugs that even evade a seasoned programmer that poses the problems, and there, Rust won't help either
What do you mean these are not the ones that rust tries to fix? Even huge projects like the linux kernel get memory bugs. I don't know anything about ADA and nor do I want to "evangelize rust" but what you're saying sounds boggers.
Obviously rust cannot prevent all bugs or even most of them. It can only prevent a small subset of bugs, but saying that that "small subset of bugs" wouldn't happen to seasoned programmers is just wrong, especially when you have tons of programmers working on the same big project.
I don't mean to say that rust is always the correct choice, but that you're waving off its greatest offering as bicycle training wheels (i.e. something no seasoned programmer would need)