I am not sure what is the purpose of this. If you are paying with a credit card, they already have your fully verified identity through the bank's KYC, fully protecting Anthropic legally.
Corporate accounts, in the US, will have full personal identification through the corresponding company's HR.
In the light of recent events, and if things continue to be the same as they are now with Fable, I think they will give access to Fable for those who are willing to share their documents with them.
But that's obviously just a speculation.
Prepaid credit cards with cash would not be linked to your identity.
Well… maybe the real thing isn’t the headline thing?