Actually, the franchise analogy is about the size of things, but it's not an analogy they would actually welcome. They want to create a fiction to present to the outside world where everyone (not only elders) does everything, not because the parent company told them so, but because their "bible trained conscience" directs them to. They spin blood, DFing, you name it, in this light.
As to legal defense of the elders, I am pretty sure that they have not been defending elders for quite some time where elders are sued as individuals, except in certain situations where they decide on a case-by-case basis that it's in their best interest to do so. They probably just made this more explicit in recent communications with elders.
Someone mentioned agency, which it should be pointed out is a separate issue from defending elders in individual lawsuits. Agency is a theory where someone would seek to recover from the parent organization for the elders' actions, which is a situtation where they certainly would get their legal team involved since it is their checkbook that is being pursued.