While I don't disagree, I think any justification for why we should fund mathematics and why we should protect the work they are doing from being solved without them should be grounded in results.

Similarly I wouldn't expect a good argument could be made that AI tools should be prevented from creating art because we want to continue funding artists.

If the goal of said funding is just to let them spend their time doing it then it doesn't matter that AI is doing it as well.