As someone who is in the aerospace industry and has dealt with safety critical code with NASA oversight, it's a little disingenuous to pin NASA's coding standards entirely on attempting to make things memory safe. It's part of it, yeah, but it's a very small part. There are a ton of other things that NASA is trying to protect for.

Plus, Rust doesn't solve the underlying problem that NASA is looking to prevent in banning the C++ standard library. Part of it is DO-178 compliance (or lack thereof) the other part is that dynamic memory has the potential to cause all sorts of problems on resource constrained embedded systems. Statically analyzing dynamic memory usage is virtually impossible, testing for it gets cost prohibitive real quick, it's just easier to blanket statement ban the STL.

Also, writing memory safe code honestly isn't that hard. It just requires a different approach to problem solving, that just like any other design pattern, once you learn and get used to it, is easy.