If you have a customer who is not breaking any rules, hosts the correct kind of content and keeps paying you but has signed up with the wrong name and address, are they still a good customer? I believe that's the right question.
Once paid by BitCoin the transaction is not reversible, so the money is yours. That's the good thing.
But the payment source does not back up the names and addresses in your database. That's the one bad thing.
If you follow up any BitCoin customers by phoning them, then I think you've done all you can.
We accept BitCoin, but haven't had many takers, we had had a few of enquiries about it and as it doesn't cost anything to provide, we set it up.