Bullet vs Blitz ratings

Weaker player make more mistakes in time trouble.(like 1 min bullet)

In weaker pool, 1000-1400, bullet rating will be lower than blitz rating.

In stronger pool, 2000-2200, bullet rating will be higher than blitz rating.

Isn't losing in chess always by mistake?

I've wondered this too. And, why is almost everyone's daily rating about 200 points higher than their blitz? I know that people have more time to think, but that is true for both you and your opponent. So, why are almost all the daily ratings on chess.com in general much higher than blitz ratings?

I think it’s because you get a lot of points by timeouts from players that are removed from the pool eg cheating or just closing their accounts. Also I think a stronger pool of players play blitz in general.

Yes, but you are very underrated in daily because you haven't played many games. 

That makes sense, you are probably right.

because in bullet, it is far easier to lose to someone worse. Non-titled players have beaten GMs in bullet, but wouldn't stand a chance in standard. The time makes level of play far less important.