1. There is a world of difference between a UM and someone who needs extra assistance. The UM is signed to/from each employee, stage by stage. The extra assistance pax is simply provided an appropriate escort.
2. The UM nonstop issue is all about the measures a carrier must take as a legal & moral matter in IRROPS. Unlike an adult who can be handed a hotel voucher if he's entitled, no major chain and no sensible non-chain property lets kids check in by themselves. Thus, the carrier assigns multiple employees, presumably at OT rates, to a single UM. Then what to do about food allergies, medications, and so on. Heaven forfend that a UA employee take a UM to the hotel restaurant, orders a gluten-free meal and it turns out that the meal isn't gluten free.
I am certain that UA has looked at the legal, reveue, marketing & repitational issues and the equation likely cuts against providing the service. That's the world in which we live.