@22
"According to it around 2100 blitz here should be around good enough for 2000 otb."
++ No. Classical, rapid, blitz, bullet are different games requiring different skills and with different ratings.
"there hasn't been noticeable increase for people with stable blitz ratings" ++ There has. See Carlsen: 3276 blitz on chess.com, 2886 blitz on FIDE, where he is World Champion of blitz.
"There's something really amiss" ++ with you: denying what has been proven and twisting words to mean something not said.
"So 2000 blitz is very respectable"
++ 2000 chess.com blitz = 1610 FIDE blitz. If that is respectable or not is relative.
2000 is average club level from my experience in several countries..
I picked up chess late so I will have to do a ton of puzzles, analyzing and reading to reach 2000 which I probably won't..
but people who pick up chess early and have some good experience OTB seem to reach 2000 easily...