Well Spotted, I've seen that video and I didn't even remember. 2000caps for a casino seems pretty light weight to me, hopefully some of the casinos will have higher limits.
CUMULATIVE?!?! THAT'S BULSHHHHHHHHHHHHHHHHHHHHHH. Sorry. Had to get that out. But seriously, this means that, over your ENTIRE time at a casino, if you earn 2000 chips, it's ban-4-u. ENTIRE TIME. No waiting a few weeks, it won't matter.
The ONLY way I could see this work out well is if it was 2000 chips in the bank at one time, but allowing you to CASH OUT the chips for money. ^_^