It would make sense if it was in a Vault dedicated to breaking down and making power armor.
How would you form a social experiment around power armor production? And why would Vault-Tec take a share of West Tek research? Because both companies were contracted by the government? Well, I guess they've already done that with Vault-Tec having FEV for some weird reason, even if that was more secret and experimental than power armor technology was by 2077.
But for power armor being such a new invention before the war, how come there should be hundreds of different models? There was T-45d which was replaced with T-51b because it didn't burn through batteries as fast and offered a better and more slimlined protection. After that was the power armors that the Enclave produced on the oil rig, and later a [censored]-ton of different weaker version at Raven Rock.
I wouldn't be against if we could find power armor versions that never made it into mass-production because they proved to svck. There's probably a reason why T-45a, b and c never made it to combat. Maybe it was like the earlier APA prototypes, that accidentally killed their wearers. I could dig that in Fallout 4, some power armour that just out of the sudden has its little fusion battery overpower and they you explode! Hehehehe... or it's something that doesn't have too much armor plates on it, and a lot of exposed cables. It wouldn't offer too much DT or DR but it'd give you that big strength boost PA should give you, as well as increased carry weight. But watch out for anyone shooting at your exposed battery haha