Stockfish has added neural networks for evaluation, much simpler than the large networks in MCTS engines, and efficiently CPU computable. The technique actually

Stockfish has added neural networks for evaluation, much simpler than the large networks in MCTS engines, and efficiently CPU computable. The technique actually originated in a Shogi engine and was later ported to mainline Stockfish, so there's no direct inheritance from AlphaZero in that sense. The search algorithms have been incrementally improved, but still follow the same Alpha Beta and a heap of heuristics approach.