That really just creates a lot of little credit bureaus, which fixes the centralization issue at least.
In the longer run, you can imagine not just credit history data being exchanged (with the permission of the borrower perhaps) but also the ability to trade the loan products themselves, most of which is done OTC right now. Fixed income contracts can be described as "smart contracts" [1]
(If you're not laughing then you need to admit you have a problem)
Recognizing the most repeated joke on HN?
Edit: Assuming the colloquial use of the term "blockchain", a public database. In the sense that a blockchain is simply a data structure it's not necessarily a problem but also not a solution.
Please tell me how a blockchain works then.