Is there a limit to the number of Power Armor sets you can keep?

I've seen videos of some folks having several armor sets (4 is the most I've seen so far) standing about on their settlement. I'm wondering if having too many would cause some sets to disappear. They're not like guns/items that you can safely store in settlement crates, the suits kind of just... stand around. (I know there's the extra step of taking out the fusion cores, so that NPC's don't use them.)

Is there a limit to the number of Power Armor sets you can keep?

I'm on 10 at the moment.

I'm not sure if they respawn, but there doesn't seem to be a limit on how many you can keep. If they don't respawn then it's simply how many you can get your hands on.

I am at 28, you just keep stealing them from BOS.

Pick pocket there power core, and they climb out and leave the suit.

Just wait for them to walk away put the core back in and free suit.