Yes, and

I have a hard time imagining a future where knowing how to solve problems with computers and how to control the complexity of those solutions is less valuable than it is today, so I think it will continue to be a viable career even with the advent of AI tools.

Exactly! So the nature of what we do might change; but, solving problems with computers will always be the thing. And the most capable people of doing that will be those we call programmers - what does it mean exactly, the nature of exact activities they perform will continue to change (as it arguably always have been), but there always be somebody who is significantly more adept at solving problems and create solutions using software - that somebody we will continue to call a computer programmer/software developer.