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Set standard loan terms according to worst-case credit risk. Offer personalized terms to those who agree to the data collection and processing necessary for personalization.

Subprime loan products already exist. They do typically run your credit, but they don't need to: the fact that you would pay for one says all that needs to be said. They're also typically offered under different branding from a respectable financial institution's loan products for people with good credit. An opt-in requirement for credit reporting only changes these basically cosmetic facts.

Better-than-worst-case credit history is immensely valuable. So valuable that a lender will cut you in on tens of thousands of dollars in savings for sharing it. Of all the things you could need opt-in consent for, it's an easy sell. Everyone would buy it. We'd be in the same position.