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Most of the scores I have been given from CC companies are the standard FICO 08 scores.
Most use FICO08 and others rely heavily on their internal scores also.
How often doesn't really matter. It's who uses it and who doesn't that matters. If you want to know what number a creditor will pull for you then you need to pull a score generated using the same model. Don't simply rely on FICO 8 or FICO 8 Bankcard for all creditors.
I don't have any info on how often, but I can tell you that FNBO (AKA First Bankcard) uses Experian FICO 8 Bancard score for approvals. It's also what they provide for their free FICO.