Well, what have you suggested that they be called? Batman Jr.? Mighty Half Pint? Teen America?
I'm not railing against it, mind you. I do, however, think that a lot of the flak the writers got (and still do today) regarding kid sidekicks would have been avoided if the kids used codenames...and they might have gotten more kids in the audience, since that's exactly the sort of thing kids love. It also helps the illusion that one day, you might be the kid in the mask; that's less probable if the kid's secret codename is Davey.
I had, by the way, forgotten Kid Terror's moniker. In most of the stories, it seems like he's "Tim." And again, "Robin" is fine, though the costume is...incomprehensible. Replace the cape with a green cloak, though (because the staff has insisted the name was derived mostly from Robin Hood), and it could have been an even bigger winner, and maybe not so much a target for Wertham.
(Interestingly, Sparky's a great name for a sidekick, because there's nothing particularly thematic about his patron. The only problem is that it's also his REAL name. If he'd only been Fred...)