I successfully kept refugees for 10 days. One has an 18% movement speed due to bad back, wooden leg, and withdrawal from drugs I've yet to encounter during this playthrough. He's just generally old and frail. It is winter and he gets hypothermia or just falls over and needs to be rescued before he makes it to the edge of the map. I can't give him a parka because he is no longer a colonist, and when he dies I fail the quest.
There is a work-around where I build a tiny house at the edge of the map and haul him there when he falls, but I needed to reload the save multiple times in order to get him there before he died. It breaks the narrative feel to do something so gamified. I just want to give the poor guy a coat and some food.
Thank you for the report.