That was one of Futurama's weaker episodes even if you understand the actor allusion. If you don't get the reference, a lot of screentime is spent on a couple of the characters behaving in slightly strange ways for no apparent reason.
Nonsense. Cultural history transferrence is a thing, I did not have to have watched Gilligan's Island or the Honeymooners to get the references in every 80s tv show, it became clear from the context and its own meta joke.
So no, just like a GenX-er did not need to have been a Baby Boomer to undestand the "One of these days Alice, Bang! Zoom! Straight to the moon!" reference, a Gen Z-er can quite easily get references about Gen X series from the frequency and context they encounter them.