I agree that it should be ok to run a airlock without any solution.
My only fear would be fermentation flys especially in summer. They are attracted to sugars of all types especially beer hence why all my taps have rubber nipples on them to keep them pesky ferm flys out I'm sure as heck you wouldn't want what their spitting on your beer lol.
Also before them plugs I had a dodgey pour out one of my taps guess what?
A bloody spider had made its home up in there the little drunken ba@tard!
So that's my 2c not in my brew house my friend I live in the subtropics insects like to camakazi into my beer.
Heck one session I had I sware in had the worst luck somehow every beer of the day a bloody fly would end up swimming In my beer!!
And that was a 11am kick off.
Two lessons 1 drink quicker and 2 insects just love beer
.
But life in the desert may provide a bug free enviroment.
Put it this way I'd atleast leave some cloth over the opening to stop any crawling flying introoders.