If I had to guess, the reason would be , that due to the nature of the transaction, and the multiple actors involved, that, from a legal standpoint, they prefer the immutability and distributed nature of a blockchain rather than a leaky old centralised system, which could potentially be gamed with more ease. Not to mention, that there would also be a greater potential for interoperability going forward.
Who's going to be paying to secure this blockchain?
Exactly. It amazes me that there are so many people out there (and even here) who still don't get it.