initial justifications aside, i still disagree that the concept is worthless, simply because it doesn't work in all scenarios, or a more modern day, "real-world" take, i.e; batman begins.
i mean, if you're all going to be that picky, why not detail how stupid it is that batman exposes half of his face in every adventure? or "brands" all of his weapons / tools / vehicles with his own logo? why he selects boots of a different color from his pants?
they're all "really goddamn stupid ideas." ... and they can all be made appealing to the audience.
the fact is, we've seen good (great!) stories pairing batman with robin -- its not like the task is impossible. its been done time and time again, in the grandest of ways, in the spotlightiest (!) of media! from DKR to BTAS and many of your favorite regular issues of the past 50+ years. a good writer can justify his existence, or any other of the silliest bat-related attributes, with ease.