

What about Plato’s Academy? It was an institution of higher learning, and it certainly existed long before the one in the meme. I’m not saying that the Academy was the first one either, it wouldn’t surprise me if there were others before hand.
It seems to me like the claim “the oldest currently existing university” got converted to “the first university” and those are definitely not the same.

That’s a weird argument. So if the University of al-Qarawiyyin stops operating, then some other place becomes the first university?
That’s more of a modern understanding of what a university is like (and I doubt it is an accurate description of the mosque that Fatima al-Fihri made).
A ‘community of masters and scholars’ one might say, or in latin ‘universitas magistrorum et scholarium’ which is the origin of the word ‘university’. The original point of Universities was the same as that of the Academy. The teaching of students is just a side effect of achieving that goal since teaching is a great way to learn.