I'm so surprised by this. What happens when you are fighting a current? Have you been cold water diving?
I think that is a question for the hyperbaric physicians (pinging @Duke Dive Medicine ). I don't have any other source but the doctors who didn't clear divers diagnosed with this.
There are many variations of asthma, and knowing what induces it, influences the doctor's decision about a diving clearance.
It is interesting that you know of cases of exercise-induced-asthma that never occur during a dive. However, a dive doesn't end at the surface. If it involves climbing a ladder with a full set and 50m walking back to the car, before you can take your set off, then that's also part of the dive (and in case of a diving course, the responsibility of the instructor).
EIA isn't necessarily going to cause an "Asthma Attack" of the type that would be concerning for diving.
When I was a competitive cyclist, and coaching, I recall reading that 40 percent of competitive cyclists had this condition, and again this was my experience. Every one of those folks were doing things that were a lot harder than scuba diving, and many did so without medication.
It's easier to think of EIA as exercise induced bronchoconstriction (EIB). That is, a temporary restriction of the airway, that is caused by excercise. IIRC about 15 percent of the population has this condition, so you know, have dived with, or trained students who had it and (probably) didn't even know it. There's a fair chance you have it yourself.
In my own case, I didn't know I had it until I was in my 40s. It wasn't until I read an article by an Olympic athlete who described their symptoms - things like coughing up phlegm after a hard workout - that made me realize that I had it.
All that being said, there are people who have Asthma, which can be triggered by exercise. That's a totally different situation, and I'm sure that there are people who have severe EIB that might be triggered in the water, but I've not encountered any of them, which is why I was asking for a source.
As far as cold water dives go, I have hundreds of dives in cold water, it has no effect that I can determine. My experience is that I've never encountered a diver who had EIB and had a problem while diving. Maybe it's because the filtration of the air removes pollution and allergens from the tank. I really have no idea.