That said, Stockfish NNUE took the heart of AlphaZero (the evaluation neural net), ripped it out, refined and shrunk it, and stuck it back into Stockfish, and now Stockfish is clearly back on top and is still clearly an "engine" and not an "AI" as you say.
It seems like this will be the case for AI vs. Engine in a lot of fields going forward. A bio-inspired "AI" approach will do well. Then that thing will get stripped down and refined to the bare minimum to do some particular task, and it will then be more of an "engine".
It will be very interesting to see what this looks like for "general intelligence". That is, how many components of intelligence are separable and distillable into engines? E.g. reasoning, creativity, knowledge, foresight, etc.