I have met with someone who won 6 million dollars from another place, which I will not name, and didn't do a bit of KYC at all, from 300k to 6 million so he wasn't poor to begin with, all the points for a money laundering but it wasn't asked. So, do not defend it with just money, this place asks it even before you start.
Sorry to ask, but is this other place (I assume it's a casino) licensed!? Because as far as I know any regulated and licensed business has to declare and report transactions above a certain threshold (depending on the license provider and the county where the casino operates).
Just speculating here, but I'd say probably not. From my experience i can assure that many an anonymous bitcoin casino exists, no matter their business type. I bet it will be useful to add a list of trusted places here that don't require KYC from their users.