Many people suggest to keep your bitcoin holdings secret, thus preserving the anonymity of bitcoin to a certain degree.
But then you get sportsbooks asking for photos and passports, and god only knows what else.
If a sportsbook wants all this, I respectly suggest they change to fiat.
Regulated sportbook has to obey law, and ask for identity docs. The method of payment is not that important, I guess single operator may accept fiat and crypto, on the same or different platforms. You can always find unregulated gambling site, which does not require KYC. That´s your choice.