He has superpowers. They’re just related to chilli rather than archery. And the Green Pepper sounded dumb, even to the man who came up with the Arrowcave

If Oliver ever cracked open a dictionary, he would realize "Quiver" is better than "Arrowcave."

That's what Harley Quinn said

Not surprised. But Batman is ALMOST as big a cultural figure in the DCU as in our world, and Ollie doesn't want to give up or admit to his envy of the Batcave.