Ngl, the whole "Shoot All The Bad Guys" thing with Jason and mini Bruce is cathartic, but can't help thinking of the consequences.
One of the arguments that surface following a real life cop shooting someone is that trigger happy cops make things riskier even for other cops - that, once people know any encounter might end in death, they will start shooting first instead of considering giving up.
The Gotham situation changing like that with Red Hood involved.
Till then, you know you can surrender. The Bats don't kill. If you're a regular minion, when Bats attack, you know you always have the option of just dropping your weapon and letting them take you.
But Red Hood kills. And the kid he has with him is even more insane.
Sure, Jay only kills the ones he's sure deserves it, but how are the regular people supposed to know that for sure? Or trust it?
Surrender is no longer an option. If you want to survive, you have to kill him and the kid first. They never used to shoot to kill against Robins, not when they're this little, but now it's their only option to survive.
And criminals are likely to take far more risks to escape Red Hood than they do with the Bats. Maybe a random pickpocket or someone seeing Red Hood or Mockingjay and running into the traffic or leaping off a roof in terror...