> On the other hand, hypercomputation has no physical basis. So what's the point of using it to model anything real? It's next to useless.

Plenty of mathematics does not "model anything real", but you may still want to understand it. The paper starts with an analogy to non-Euclidean geometry, which once "had no physical basis", until we learned more about the universe and found that it did.

Mathematics isn't a pitch deck.