No... Not at all. "gae" Vs "gahgged". Gay has a hard A, gagged had a soft A. Plus gagged had a 'gg' sound in the middle, and also a D sound at the end. Actually, the only thing they have in common is starting with a G.
Do they sound the same to you?
Isn't that salsa? That's literally vinegar pickled bruscheta. Well, I guess it's got jalapeno.
Or you talking like a spread made from pickled cucumbers? That sounds a lot like relish.