I've noticed that besides the few scripted follower rooms. Which offer small amounts of backstory. Examples being, saving a critter after its village was wiped out, rescuing them from being sacrificed, or even taking them in after they themselves slaughtered their own village. (There is also the chance of finding a dissenting follower and needing to choose the correct dialog choice to get them to want to come with you.)
I think these small scenes are fantastic and help build the world of Cult Of The Lamb. Fleshing out a few of the followers' backstories before they reach your Cult is really nice. I would just like more of it. I think each location should have a handful of different small scenes. And have some of them correspond to the location you're finding the followers in.
Here are a few examples I came up with.
In Darkwood:
Come across a critter who went hunting (or gathering for Carmilla’s) but ventured too deep into darkwood and was injured. If you rescue them they need time to heal from their injuries either in the medical bay or rest.
Come across a critter who is distraught, their village was small but they worked hard to provide offerings for Leshy, just to have his followers ransacked and destroyed everything. They ask the lamb if they can come with them.