Sincere answer - will continue to do KYC verification at casinos as there is no other way to play there except doing KYC.
I don't like playing casino with fiat, it's easy to get into trouble for me but I don't know about others, so if it's the only way, I'll do it.
Now, it is your choice which casinos you would like to complete this level of verification. Much better if you can only comply such requirement in only sites that you are truly playing with. As much as possible, lessen the sites where you submit your personal details as it will increase the likelihood of not knowing where your credentials will end up with.
Also, this is already part of mainstream adoption. As this business wants to penetrate large number of audience, and so complying the same government regulation like any other regular business should be expected. And that means, complying with the AML/KYC policy based on their licensing authority. I believe, we all need to prepare for this requirement now.
Yes, inevitably we have to prepare from now on, one day it may be like Stake casinos where customers will be given more time to do the KYC process, so I wouldn't be surprised in the future because it is heading towards strict rules from the government.