As an asthmatic, GERD made my breathing unbearable and my lungs extremely unhealthy. I was on high doses of inhaled and oral steroids and they didn't even touch my inflammation, because the reflux was constantly re-injuring my lungs.
Yes, reflux can most definitely cause breathing problems. Even those without asthma can have lots of breathing issues with GERD. Fortunately, after surgery, my lungs have responded very well and are much improved.
What a difference!
Good luck finding an answer to your problems.
You're definitely in the right place.