I agree that a citation is useful, but I know that I've seen articles about how the variable for time cancels itself out in many important physics derivations, suggesting that time is at least not an important factor in the reality of the universe, and thus possibly does not exist.

You could say the exact same thing for eg. mass.

I heard there are various models of time. It doesn't look easily searchable though.

I wonder if there is one in which time does not exist...

Citation would be needed for a time proof. I don't know about such.