Currently, if someone compromises the Cloudfare servers, they gain the bank's private key and can impersonate the bank until the bank revokes their keys.
With this solution, if someone compromises the Cloudfare servers, they can impersonate the bank by relaying the decryption of the premaster secret through Cloudfare's compromised servers back to the bank. They can do this until Cloudfare notices and closes the security hole.
It's not clear that the difference is all that great in reality, as most of the damage will be done in the first 24 hours of either compromise.