I agree that calling this argument ridiculous is...well ridiculous. You have a field comprised of a helluva lot of comic book characters, so how can you not base your decision in regards to comic book characters without relying on comics as a reference point to back up whatever position you take??
As has been said, this is a battle that's happened in the comics on several occasions back in the 90s and Batman ultimately came out on top. The Predator species is pretty badass as a whole, there's a lotta great stuff to work with, but the problem with the Predators as a whole is that they're stained with defeat in the movies at the hands of Arnold Schwarzenegger and, even worse, Danny Glover. Schwarzenegger's character, Dutch, in the original film used his special forces training to take the fight to the Predator on its own terms and ultimately came out on top. Danny Glover basically just went after the Predator in the sequel in an all out brawl that spread out all over the city that resulted in him coming out on top.
In the first Batman versus Predator crossover back in '93, Batman basically lost their first encounter but he survived, which means he had time to form a plan of attack to combat the Predator's advantages. If you don't kill Bats the first time out, it's much, much more difficult to come out on top the 2nd time around. In a film, that's basically what I'd see happening: Predator kicks his ass in their first meeting, Bats escapes, licks his wounds and comes up with some sort of plan or technology that puts him on more equal footing and he ultimately comes out on top.