(I posted this in the "Hirelings: Shrines, Switches, and Levers" thread in the "Official Discussions" category but didn't know how visible it would be there, so I decided to make a new thread for it)
We figured out last night that the hirelings seem much more inclined to use shrines if they are in "active" stance. If they are in "defense" stance I can mash away at the "use" button and they'll just stand there like "durrr" Switch them to active, they'll automatically use the rez shrine and will use the rest shrine when you ask them more often than not. And if they don't, I chuck em from party and summon a new one
Just a little workaround I thought I'd mention. I dunno if someone already suggested this or not, but it was pretty effective last night so I thought I'd share, since I now a lot of people are still reporting problems with hirelings using shrines.