Isn't it all speculative, though? It seems like a case of people being afraid of what would happen because they don't know exactly what would happen.
But our current body of theorems biases us to look for theorems that are well connected with them.
How do we know that our mathematical knowledge isn't just a local maximum?
I took a fish head to the movies and I didn't have to pay. -- Fish Heads, Saturday Night Live, 1977.