It's more fundamental than that. AlphaZero is a shallower search with a heavier evaluation function. Stockfish is a deeper search with a lighter evaluation function.
In chess, depth usually wins because of how narrow the search tree is compared e.g. to Go.
Interesting, and if you don't mind, where do we put humans (and superhumans like Magnus Carlsen)? I think they have a heavy evaluation function and do shallower search.
Way way shallower search. A human doesn't consider more than a few candidate moves. But they (we?) build up much better intuitions and heuristics
One way would be to calculate a cost per game, factoring in both electricity and an amortized cost of the hardware, maybe having a penalty too for extra time run (e.g., if focusing only on hardware depreciation and electricity, 1 minute of TPU would translate to 2 weeks of CPU, that 2 weeks of waiting still costs you something). Obviously this isn't stable, as relative prices of GPUs and memory shift over time, and it's somewhat sensitive to setup; but done right it's probably more "what a user actually wants to know", in terms of what it would take to get equivalent performance.