The problem isn't with the power armor stations but rather the power armor frame itself. The mod you have "Buildable_PAFrames.esp" likely turns power armor frames into furniture items which links them to what ever settlement it was deployed in.
I found that storing and redeploying the frame in a linked settlement with this mod https://www.nexusmods.com/fallout4/mods/10792?tab=description solves the problem. Hopefully this will be of use to anyone else who stumbles across this thread in another 2 or 3 years!
