What (approx) ACF rating is comparable to Stockfish level 6? (I'm only interested in classical format.)

I played a couple of games against SF6 and "would have" won "if only" I hadn't missed a killer move (for me) at a critical point. Googling for attempted systematic comparisons between Lichess rating and FIDE, I get the impression that Lichess 2300 is roughly comparable to somewhere around FIDE 2000 (albeit with a nonlinear sliding correction scale on either side).

What do folks here think? If you're somewhere around ACF 1800-2200, and have a stable Lichess rating (classical), how do they compare?

Or, asked differently, if you've played some games against SF6 (classical), what ACF rating would you estimate it to be?