My daughter has asthma and a food allergy. I've never had a problem with her meds, however we do not use a nebulizer so I don't know about that.
Even though we have never had a problem, I always go prepared. I have a medication form signed by my dd's allergist; I have the prescription boxes with current rx labels; and I try to always declare her meds. I say try, because usually I am shuffled through security without anyone trying to listen to me. There was only one time I was ever questioned about her meds departing MCO...I saw my bag getting backed up to be scanned again and they looked right at me and asked "needles?" and I replied "epi-pens" and that was that.
HTH!