OK, but I think it's generally understood that exhaustive search is not feasible for games like Chess and Go, so when "brute force" is used in this context it means an emphasis on deep search and number of positions evaluated rather than the human approach where many orders of magnitude less positions are evaluated.

I think that kind of erodes the meaning of the phrase. A typical MCTS run for alphazero would evaluate what, like 1024 rollouts? Maybe less? That's a drop in the ocean compared to the number of states available in chess. If you call that brute force then basically everything is.

I've personally viewed well over a hundred thousand rollouts in my training as a chess bot =P