To elaborate, in the Top Chess Engine Championship (which is also used as a benchmark in the AlphaZero vs Stockfish comparison) Stockfish has won all seasons since May 2020[1,2]. A common runner up for those seasons is LCZero[3], which is an engine that is derived from/a reimplementation of AlphaZero. Stockfish is also ahead of LCZero in Fischer random chess (as hosted at TCEC) winning 4 out of the 5 FRC tournaments.
As for how close Stockfish 8 is to a current version of Stockfish, Stockfish 15 has ~400 more ELO than Stockfish 8 as measured in their own self-tests[4].
However, when making these comparisons between AlphaZero and Stockfish it might be tempting to frame it as machine-learning-engine vs classical-engine, which is not true. Stockfish incorporates a neural network when evaluating chess positions[5].