Don't know about the on-line services, but any bookie will ban someone before going broke. Highly succesful punters have to find ways to hide their bets. Its not a problem I have. But I know at least one local punter (retired) who is famed for being once banned by various bookies during a purple patch.

(I also know a family with three generations of bookmakers and note that they are not wealthy people.)

My only problem with on-line services is that Microsoft have put a bit of code in Internet Explorer that makes it freeze or crash as soon as I'm on a winning streak.

Hermes