Sylvain wrote:
However, there are a couple of advantages with
the Wings program; for one thing, it is preferable for the CFI, for
liability reasons;

Setting aside the fact that in the U.S. anyone can sue anyone else for just
about any reason, I am unaware of any FAA regulation that would make a CFI
responsible for the actions of a pilot they had signed off on their BFR.

It would be helpful if you could cite case law or regulations that support
your claim.