It isn't important for gameplay reasons though. There's been no indication that Power armour would just be gamebreaking and cheap to use. Just that it'd be good.
Especially with what Demonsblade said. From what I see, It's true Beth doesn't seem to like to create consequences when it comes to playstyles, and simply not being able to use power armour because it doesn't have enough energy, when you like to wear it all the time (as you could in previous games) is counter-intuitive to the freedom they like to give players, and there's really no point in retconning any lore just for the purpose of suddenly limiting players.
I'm still leaning more on the only consequence to lugging it around is that you can't store it in inventory, so if you're roaming the wastes with it, leaving it behind means just that, and you'll have to go back for it if you want it.