Based on my experience, I have never been asked for KYC for either deposits or withdrawals. However, even though the casino claims to be no KYC, there's always a possibility they might ask for verification later if there's any suspicious activity that triggers it. This is normal in many casinos.
However, their representative already said that it doesn't really matter what the situation is; they are not going to ask for KYC. So, let's not assume they are going to apply the other standard casino rules to the players' accounts, since they themselves have already confirmed that they are not going to ask for KYC. Their TOS page has no information on KYC requirements, and they also said the AML text is just to satisfy regulators. An official account cannot have more bold words than this one. So for now, let's consider them as having no KYC until they ever ask for a KYC from a player.