But yeah, it's really easy for casinos to keep a track of your betting pattern and kick you out if you're playing the game too well. That's why the really successful card counters play as groups with personas. They'll station a bunch of low key guys around the casino and have them maintain a steady stream of cheap wagers while they count. When a table gets hot they'll signal a flamboyant high stakes looking guy to sit down and play a few rounds.
The Casinos will eventually catch those guys too, simply by correlating who is sitting at what tables when the high stakes guy comes to play, but it takes a lot more work and they make out with a bunch more cash. Worse, because what they're doing isn't illegal the casio can't even deny them the winnings, only kick them out and plaster their faces all over the blacklists the casinos use.
However, casinos now know of and how to foil this strategy. The countermove is to prohibit entering a table while a shoe is in progress. Either the new player must wait until the deck reaches its established end point at the cut card, or the deck gets reshuffled immmediately upon the new player entering. Either way, an incoming player can't take advantage of any count.
They don't reshuffle every time because your last statement is very wrong. The money card counters can take before being caught is a rounding error in the face of the masses of people who are happy to play with no edge.