Is wearing multiple cloaks really THAT crazy?

I gave my rogue a cloak of elvenkind instead of boots as it just fit his vibe better and then later on in lost mines he found a cloak of protection. I mentioned this in another post asking a different question and everyone really just honed in on the two cloak thing and not really any helpful advice on the question. Is it really like a paramount rule or something that I’m not aware of? To me it makes sense that you wouldn’t be able to wear two helmets or 4 gloves but like, two cloaks? That’s layering everyone layers. Also the first cloak is literally reskinned boots. Am I supposed to just punish my player for a flavor choice he didn’t even impose on himself?

Is there actually some rule in the players handbook or something that says this is like a total no go?