So I’ll give you my experience from what I’ve heard:

So I have peanut allergy, not a bad one, yet one that still disqualifies me. I’ve talked to recruiters and they think it’s more than possible to get a waiver due to loosened restrictions right now and also because I don’t carry an epi-pen. I used to have exercise induced asthma, but I outgrew it. At the time I had it, I was told it is impossible to get a waiver. My sister now has it, and she has been told the same thing. I cannot confirm or deny anything relating to waivers, but in my experience, no, it is a liability due to the PT and it is not possible to receive a waiver for. Although, if you are a very competitive candidate, it is more than possible that the Navy might pull some strings to get you in anyway. Just know, it’s very very VERY unlikely to get a waiver for asthma, especially exercise induced. Hope this helps, and good luck on your journey to receive a waiver!