Yes, this is how science and engineering has worked for millennia.

For example there are no engineering implications of this solution yet.

For the next several decades, we'll have engineers (presumably with AI) optimize things like rocket engines and turbines and AC compressors to work a few percent better because the numerical approximations might have caused us to be overly conservative.

AI is not going to magically solve all random problems. Pick a career where you are in the driver seat.