At the risk of bringing grief on my head, I'd like to express an opinion.
I'm well aware of the "heebie jeebies" one can get in an eating establishment, bordering on feeling like a panic attack is imminent. Once you get that "unsafe" feeling, and just know that you're gonna get glutened if you eat there, it's impossible to ignore it.
However, for me, I don't think there would be enough gluten molecules transferred from the glove to the entire grease and fries filled fryer to contaminate a few fries. If that's all I was worried about, I'd gladly just minimize my fries intake, in order to enjoy a tasty gluten free cheeseburger. Full disclosure, I'm not super sensitive. So there's that to consider. I have gotten deathly ill several times. So I'm pretty careful, and hardly ever eat out. I am partial to a good burger though.
best regards, lm