If the anonymous casino is trusted by the public and have a good reputation, it’s the top choice. And also if it’s running smoothly without and problem encountered by the users. I know we hate how traditional regulated casinos for requiring too much. It’s even better if the anonymous casino offers fast payouts and fair games. People just want a hassle-free experience where they can enjoy themselves without worrying about unnecessary rules or delays. 
Freebitco.in was one of trusted anonymous casino, after many many years they built the reputation from their known oldest faucet service. However, there were many users report if they have a problem with Freebitco, until I still see some users complaining in X.The 11 years reputation is gone now.
Stake (the #1 casino) used to allow anonymous users many years ago. Now they are fully regulated and I would say the old way was better, since it's what the early Bitcoin people wanted was freedom, not excess government controls over business.
But, who cares now?If people aren't happy with Stake who turn from anonymous casino to regulated casino, why Stake is keep bigger instead of bankrupt?