I don't totally understand why the bookmakers would limit their accounts. The bookmaker wants to balance his book for each game to make sure he makes a profit no matter what the outcome is. To balance their books they might give better odds for an outcome than what a statistical model might suggest. But what difference does it make if the bettor who helps them balance their books is a consistent winner or not? Do the…
Likewise, bookmakers will happily take bets from guessers all day long. If they are lucky enough to get a ‘whale’ placing huge (but dumb) bets, they can easily lay off those bets elsewhere to manage their risk. They don’t need skilful gamblers to help balance their books.