YES?! YES! YESS!!!!
If Dick were to die, Bruce would completely break. He wouldn't just stop at killing villains - hell no - he would start killing heroes too.
All that's going through his head is that no one deserves to exist if Dick is gone.
And knowing me, I will always gladly provide the evidence.
In the comics when Dick got shot, Bruce's world imploded.
He felt such a strong rage, he kinda lost it. He flew to another country, defeated assassins, and trucked through the freezing blizzard in Russia to get to KG Beast.
The utter, undiluted rage on his face.
He lost communication with Alfred. He's completely on his own but nothing will stop him in his crusade to avenge Dick.
He finds the assassin and they have a massive fight. KG Beast is actually one of the highest paid killers in the world. Him, Lady Shiva, Deathstroke, Deadshot, and someone else are the top 5 of the villain world and Batman almost loses until-
He shoots a grapple gun into KG Beast's face! He breaks him. He leaves him paralyzed.
His horror at what the Joker has done to Barbara is gone in the face of his hatred for what happened to Dick.
Batman willingly and knowingly paralyzed someone despite knowing the cost. That's how much he hated him. But you think it stops here? This is just the tip of the iceberg.
And this is where it all goes to hell.
Batman, the vigilante who beat his own son for killing criminals, leaves this criminal for the dead.
The Gotham commissioners talk about it
Batman (2016) Issue #60
Forget Batman. JTTF stands for Joint Terrorism Task Force. They actually considered a hit on Nightwing an act of terrorism.
That's how much the world loves Nightwing.
The moment KG Beast shot Nightwing, he became the Nation's Public Enemy Number One.
Commissioner Grogan hates KG Beast so much for what he did, he can't even bring himself to say the man's name, too revolted by his existence. Gotham hates the guy more than they hate the Joker.
Batman (2016) Issue #60
Commissioner Gordon offers some hope that maybe Batman knew but Commissioner Grogan - he just says maybe. I don't know, it's possible but - to which Gordon just stays silent. They both know what happened and what Batman did but confirming it out loud? Batman's not supposed to kill.
So Batman left KG Beast to die but Bane? The one who ordered the hit? He-
And when Gordon tries to stop him-
He hurts his friend and ally. The man who helped him the night his parents were murdered. He punched for his pain over Dick.
This is where it all connects to the Superman vs Batman movie. If Dick were to die, Bruce would kill his own allies in the end. He would raze the world to the ground.
In the comics, Dick's death is the turning point for Batman (2016). After this he enters a series of nightmares where his brain turns a nightmare of Selina dying to be exactly reminiscent of what happened to Dick, and even though Dick lived, Bruce can't let that go. Then the fight with Bane who targeted Dick solely because of his importance to Dick, and then the Joker War where the Joker tried to use Dick because of his importance to Bruce, and the Gotham War where Dick thrashing him was Bruce's breaking point from his toxic self and finally self-realization.
Damian once said Dick leaving to become Nightwing caused Bruce to lose his moral compass, and that's even more true now. He's breaking enemies and allies left and right just because Dick almost died.
Imagine what would happen if Dick really did.