So the question is, does using a mixer put us at risk when dealing with casinos? Are we better off keeping privacy tools away from gambling wallets, or should we expect casinos to respect privacy since this is crypto in the first place?
First let us not forget too soon that mixer was banned in this bitcointalk platform due to it legal issues despite here being primarily a Bitcoin and crypto place.
So don't expect the crypto casinos to accommodate it if the system does not find it convenient.
Perhaps you have outlined some challenges users of the mixer in a casino could face, although I am not aware of it as I have either not used the system (mixer) to process by transactions with the casino but given it a benefit of doubt, we can actually save ourselves the stress of facing such conditions from the regulations by facilitating on the casinos transactions using decentralized Wallets which still keep our identities anonymous.
So anyone using the mixer might be suspecious to something phishing in that case of regulations having Influence over the casinos.