Persuasive Speech

Batman is human, not some superhero with special abilities. He simply has cool gadgets. He doesn't know anything about Spiderman, so how could he possibly figure out his insecurities? Not one punch or kick from Batman would even harm Spidey in the least. If Batman got hit with a spool of web, which he would, this contest is over before it started.

Titus, Bats is a detective. It is his life to learn the secrets of his enemies. Example: at one point Batman was expelled from the Justice League because he spent weeks researching the backgrounds and secrets of the other JLA members. He formed an airtight plan with which he could cripple any of the JLA members should they go rogue. That means Batman, a normal guy with no superpowers, is and was capable of taking down Superman (who is basically immortal), Wonder Woman (same), Green Lantern (who can split atoms with his power ring), Aquaman (the sole ruler of all of Atlantis), Martian Manhunter (10 times the badass that Spiderman is) and the Flash (who can move so fast he can travel through time). Batman was intellectually capable of learning the worst fears and secrets of the most powerful characters in the DC universe. Cracking the Peter Parker egg would take minutes for a guy like him.

Batman wins. No contest.