I have NEVER taken my Nebulizer out of its storage bag going thru Security at ANY airport. I don't even remove it from my backpack of medical equipment/supplies.
I always tell the security person BEFORE the machines that I have a nebulizer and ask if I need to take it out or not. They have said "no" with I think one exception.
However, multiple times once it has gone through the xray they have wanted to examine the nebulizer more closely and/or swab. Plus they almost always swab the medical liquids I have (which concernt hem more, apparently), so my stuff is pretty much getting swabbed anyway

I always explain they are medical items and ask if they can please use new gloves when handling them. They always do and handle everything carefully -- and usually take care to put it back properly, too !
For the nebulizer, they have only opened its direct bag once and that was because they needed to confirm the extra batteries I had packed with it. normally they just swab the outside of its bag if at all.
I have read in Us government materials online that nebulizers should be taken out of the carryon, which is why I always ASK and then do what I am told.
SW