BS excuse, it is there to protect the CASINO, not the players. Preventing large DEPOSITS is the means to guard against addict behaviour or "dodgy" cards.
Since they pay so fast, they are lacking the inbuilt delay period that might show up a "dodgy" deposit, hence limiting it to £2000 a day means they will not lose a large amount quickly if anything funny is going on.
This is no less than the Casino Action limit on daily Neteller withdrawals (£2000 for Platinum players), however you can have the £10,000 per week limit applied as a single withdrawal, rather than phased over 5 days.
The key is to have discipline, and withdraw £2000 each day, while the casino hopes you get tempted to play again while waiting.
The best way is to deposit the first £2000 elsewhere* to play, and leave Ladbrokes alone until everything has been paid out.
* Not just other casinos, but your bank too