yup, they did not ask for KYC, not even single chance .
Wrong, bc.game is a licensed casino, so they have mandatory KYC rule that can you check it yourself on their terms of service.
I have an account in bc.game since long time ago, I dont play much here, made few deposits and withdrawals but they do not ask me to fulfill KYC. It means that they dont have mandatort KYC, as explained by Mahdikarib above. It seems that you are misunderstanding the terms especially with the phrase
reserves the right.
It's hard to trust any review platforms these days. The best way to know about the feedback about the gambling site is to see the comments/posts/reviews on the ANN gambling threads at bitcointalk.
Actually it is the same here in bitcointalk, you may find fake reviews or fake feedback in this forum like what you can find in review website out there. The good thing is that, it is easier to notice which are fake and which are honest review/feedback in this forum.