Thanks for sending the information through - I always thought a cold storage wallet was about as safe as you can get even if it is public...
The funds aren't in danger of being stolen from the site. The problem is that some exchanges and wallet services confiscate deposited coins if the come from a casino, and the only way for them to know is to look at recent transactions and match them against known wallets/addresses for casinos. Hiding the cold wallet address from these services makes it harder for them to determine what the cold address is and which coins come from a casino.
edit: I'll be happy to verify the cold addresses as well if required.