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. 
You are absolutely right, but I think the problem today is that, we actually don't have any of such anonymous casinos anymore that have manage to stand the test of time, and have built and earned a good reputation, one we can say that we completely trust and can deposit any amount of money to it without the fear of any thing happening or going wrong and we losing our money.We don't have any of such casinos at the moment, as those we used to have are either out of besiness and closed down, or currently going through a very big challenge.
I used to consider freebitco a good anonymous casino until they updated their terms and conditions about becoming a kyc casino, things even have become worst with the casino are it has lost her reputation on this forum.