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You kinda have to figure though, that anyone using an engine is gonna drive their score up 2000+ in just a few games. It's the nature of the beast. Sorta like if a magic genie told you that you could have all the money in the world, but, you only took 300,000$ That's just not how it works.
If a player rated say 1750 plays a 1950 and blows them away, if the 1750 is using an engine, he'll be 2000+ in just a few more games. However, if the same 1750 plays 35 more games, and is still only rated around 1800 he isn't using an engine.
...if he uses an engine all the time. There may be many reasons why a player uses an engine only selectively :
to avoid detection (esp. if has been already banned) part of a personal routine ("one game I play with engine to learn, one game without to practice") blunder-checking only ("I make the grand plan, the engine prompts me if I drop a piece") to get some personal revenge ("hey you beat me 6-0 OTB, I'll show you who's the boss" or "ah this dude is a famous player/cheat hunter/coach, let's blow his head "Obviously, I can't say for 100% sure, but I'd guess(based on human nature and a little common sense) that most(and by most I'm estimating at least 95% of) players under 2000 aren't using engines.
I've just noticed personally(speaking of the nature of online chess vs live chess), that a 1350 rated online chess player(one who exclusively plays online chess only) plays a hell of a lot better(in an online chess game) than a 1550 player who only plays 15-30 minute games. It's never the 1350's opening style, or positional prowess, just his ability to calculate combinations.
It's my guess that correspondence guys are just gonna make better calculations(because they are used to taking all the time they need) than a player who is always coming up with his combinations, and calculations under time restraints.
For example, you notice the player has TERRIBLE opening knowledge, you see he isn't 'setting up' with ANY kinda positional knowledge. They aren't even using basic chess principle. Then, out of nowhere they just start making WELL calculated moves(real daggers), that seem 'out of place' for a player that you know you could eat alive in a 10 minute game.