Nothing fucking ages well anymore. At least with shit like old Simpsons you could know who the fuck Bush was and why an opinion on him exists the way it does. Who is going to remember 20 years from now why South Park made a nod to 2 scoops of ice cream and glared at the Trump expy and gave a smug wink to the audience? The issue with cultural references now that weren't as common then is how exact and precise they are.
It's the same thing here but without politics (except when gumball does it with politics), weak sauce and cheezburger are extremely specific references beyond just "memes".
Not just that, but hearing someone say memes and weak sauce is different than just quickly posting it online once on 4chan and then fucking off to argue with someone about something else. Kinda like how gumball saying "cringeworthy" is cringeworthy. It's an infinite loop of "why".