This made me wonder how many kids are switching to a different branch of religion. I've seen a bit of moving to a completely different faith / no religion, but almost changes of denomination.

The first thing that came to my mind was the local liberal and "materialist" (that is, Marxist) contingents fighting over definitions. (And that does involve a few parents!) But it's equally reminiscent of childhood Catholic versus Protestant conflicts. I only have more recent experience of one to privilege it over the other.

I won’t say that the allegorical reading is more “correct,” but if you’d like some clues leading to it, look for the breadcrumbs like this: “And, even though Jeremy Bentham and John Stuart Mill are ideologically similar, I refuse to let my son believe in Bentham’s very-slightly-different version of ethics.”