I’ve never seen Citizen Kane, but I find it hard to believe that Click is “more profound” lol. It’s pretty straight forward as far as scifi goes. I agree that it has a surprisingly emotional ending, but I don’t think that speaks to it’s profundity, but more to it’s relatability.
I would hope there would be more to glean from CK after many watches: the writing would have subtext, the cinematography is more deliberate. Click is pretty much exactly what it says it is, you can easily get the full value out of it from a single viewing.
So my pick would be Citizen Kane. Or nothing, as someone else said.