It's very different.
Noob perspective:
I beat two 2000 rated players on lichess in rapid (30+0)... I can't believe I can put up a fight vs a 1600-1700 in 30+0 on chess.com...
Also I have like 10-20 victories over 2200s in bullet (lichess)... ok maybe some berzerk...
but vs only 1 victory against a 2200 chess.com (only on time, 0.01 seconds, drawn position) chess.com...
I don't play on that site much at all because I'm on chess.com so much, but I'd say 200 point difference is accurate for most. I also believe that their is more of a difference at certain rating levels though. Probably less of a difference the higher the rating. Maybe 2700+ players play about the same (can't confirm), but lower rated players feel a bigger gap. I know someone on chess.com about 900-1000 rapid rating, but their rating over there is like 1300-1400; like what?
The little I played on there was a good portion of blitz even though I don't play much blitz at all. I reached 2000 blitz rating on there fairly quickly, but on chess.com I'm only about 1800-ish blitz.
https://www.chess.com/blog/KeSetoKaiba/2000-blitz-sort-of
p.s. currently lower than 1800 blitz on here because of a chess.com tournament I played where I dropped a lot and I just haven't gotten the time to play more to get it back yet. Blitz isn't really a big deal to me now, so most of my chess playing time is chess.com rapid anyway.