He manipulated Stephany the worst, but no, ultimately he can't be blamed for that. Maybe in our world, but he lives in a world where kids fighting crime and supervillains is an unremarked upon thing.
He's unlucky that this shit keeps happening to him, but he didn't tell the joker to beat Jason to death, or Talia to kill Damian, or whoever offed Steph (I don't know much about steph, sorry).
It's an extreme displacement of responsibility of the criminal. If you're going to do that, you might as well blame Batman for every crime that happens in Gotham.