There are of course reasons for that, the major ones being the shared (and regulated) clearing system you're referring to (which I'm assuming this "bitcoin alternative" is aiming to replace) and then there's the fact that these are accredited financial institutions with reasonable controls in place to keep them honest.
In a hypothetical scenario where credit card authorization succeeds (meaning that the issuing bank is guaranteeing the funds to the merchant), merchant ships the goods but the funds don't make it to their account on the merchant bank side because the issuing bank "misrepresented the position" - if the issuing bank gets caught doing this they'll be in all sorts of trouble.
With a blockchain it becomes cheap to add a layer of ex-post verifiable mutual agreement between mostly-trusted parties.
My point however is that I highly doubt that it's the trust issues between financial institutions that is the primary driving force behind this implementation.
Do you have some quantifiable facts or sources to back this up?
If I'm going to repeat it I want to be certain of it.
That's not even taking into account the ransom banks pay for correspondent / agency banking and for SWIFT and the likes.
As well as the cost of liability of invalid/bad transfers, and banks oddly enough still "lose" money all the time, some of it is later recovered but virtually every time banks do account consolidation the books don't add up.