Yes, it really does matter, since your nervous system doesn't ACTUALLY transmit information at the speed of light, in fact, it travels much, much slower (Not even .00001% of the speed of light). Which means, a being traveling at some %, greater than say, 1 (Yes even ONE percent relative to you) of the speed of light
would no longer be perceptible, in "real" time, to your sensory information. Even if you had the fastest possible reflexes, according to the physical limitation of electrons traveling over the nervous system, someone moving at such a speed would appear to be in a different place than he actually was--and that's JUST sight, forget about ACTUALLY, physically, reacting to him. (All the rest of your senses, are slower than sight, by the way--so please none of this "Ninja sixth sense shit").
Not to mention, the force equivalent of his movement, would not only liquify you if you touched, but the heat generated from such speedy movements would probably burn you alive for JUST standing so close to him. How are you going to "melee" something that's over a couple thousand degrees? Ever see the space shuttle land? Yeah, imagine that but MUCH hotter. Your stance is ridiculous because comics are ridiculous. I can't even comprehend how you're trying to defend this point from a rational point of view--it's NOT possible.
Batman is possible because the writers constantly change the powers of those involved to appease their audience and make good stories. Please, don't defend it from "he's so unskilled, so his strength to move planets would lose to Batman's MMA styles"....Seriously. I'm not even sure if you can comprehend the forces we'd be talking about here--not only would batman not survive, most of the city where Superman threw his punch would probably be destroyed by the kinetic impact of an object decelerating from the speed of light. If you don't believe me, here--we've actually thought up weapons based on JUST speed and
some mass. These things will destroy a god damn bunker, and they will only go mach 10--superman's fist, at even
1%of speed of light, would probably be equivalent to nuke going off. (I'm not sure, I might be exaggerating, but it would be enough force to level a city block).
How is Batman going to "melee" that? Does his fearsome karate chops bend the laws of physics? No? Then accept it's a stupid comic book convention because Batman is popular. Any character who is able to approach the speed of light, even a QUARTER of it, is so far beyond humanity that no human could ever stop him. Just the forces involved would vaporize our frail bodies.