<...but I believe any claim that "Physics is solved" that might be stated after that would be as misguided as lord Kelvin's claim at the time.>
Perhaps and maybe even for a long time but you can't have an infinite progressions of "fundamental" theories at some point the questions will be answered such that "this" is as far as we can go. The problems and questions in physics are philosophical (more specifically epistemology) and revolve around what is a valid measurement when you get down to the limit of measurement?, what is an observer and what distinguishes the observer from the observed? Unfortunately, the vast majority of physicists disdainfully reject philosophy as bunk and continue to mathturbate even as their own theories become indistinguishable from bunk.
Perhaps and maybe even for a long time but you can't have an infinite progressions of "fundamental" theories at some point the questions will be answered such that "this" is as far as we can go. The problems and questions in physics are philosophical (more specifically epistemology) and revolve around what is a valid measurement when you get down to the limit of measurement?, what is an observer and what distinguishes the observer from the observed? Unfortunately, the vast majority of physicists disdainfully reject philosophy as bunk and continue to mathturbate even as their own theories become indistinguishable from bunk.