Last fall my GERD was pretty bad and I could feel that acid shooting up. Several nights I had a slight wheeze / shortness of breath. I have asthma which kicks up when I am exposed to certain things -- pets, severe dust, etc. This felt the same but different. Not as severe as an attack but a definite shortness of breath.
It only lasted for a few weeks. I started taking Nexium twice a day and changed my diet, both of which helped. I'm back down to once a day Nexium but am avoiding certain things (caffeine, soda, chocolate) and the wheezing hasn't come back.