This sounds like a typical tempest in a teapot. Remember the 'Death of Superman'? The only folks who actually believed that Superman was truly dead were people who didn't read comics to begin with...fans all knew it was just a storyline/marketing ploy. This is the same way. As mentioned, Robin is a major character with broad exposure. Many comics fans have no idea who the Spoiler even is, let alone non-readers. But they all know Robin.
It's this continual cycle of upheavals and changes that helped push me away from comics in general. The escalation of 'events' across groups of titles or whole companies is just not appealing any longer.
As for animated Teen Titans Robin, there is no evidence, at all, that he is ANY particular incarnation of Robin, with the possible exception of his use of a quarterstaff, which would make him closer to Tim Drake than anyone. Since the producers/writers of TT have made it clear that they don't have any intention, currently, of integrating the two shows, I expect we won't learn either way.
The only implication that Batman even exists in TT came from "The Apprentice" part 2, where Robn says "I already have a father" and they transition with flying bats, and the appearance of one of the Wayne companies during a battle on the rooftop. None of the characters have had their regular names mentioned, and even if a JL crossover occured, it's doubtful they would come up then, either.
The strongest evidence is that, generally, all of the DC animated shows since Batman:TAS have taken place in the same continuity, although it wasn't always obvious at the time. S:TAS usually just made sly references, until the movie crossover. JL "Secret Origins" pretty much cemented it, as have subsequent episodes featuring villains from both series and references to previous events.
As for Static Shock, I've never watched much of it, but I think you might make a case for it being a 'what-if' crossover just as much as not. Either way, most of the evidence implies Tim Drake, not Dick Grayson. The "How long is forever?" episode shows Robin becoming Nightwing...but we don't know the circumstances of that, either. Note that Nightwing operated out of Slade's headquarters, for exmaple.

And there's certainly nothing to imply that he couldn't have inherited the name from Dick Grayson or adopted it in his honor, too.
Of course, since TT Robin's personality really doesn't match any of the previous Robins in the animated series, you could argue it's not even relevant. B:TAS Tim Drake is almost happy-go-lucky...certainly not the driven, sometimes semi-obsessive 'mini-Batman' of TT.
Me? I secretly suspect he's actually the Mad Mod.
