Let's get right to the obvious. Bruce Wayne has a bit of an incredibly strong fear of losing those who matter to him. One could accurately call it a deep-seated trauma. Look, it's not like he's under any illusion that anybody would find the experience pleasant, but it's absolutely, positively his worst nightmare.

And to cut right to the chase, that is at least in part the reason he keeps a Lazarus Pit in the Batcave. Alright? It might not exactly be a thing he strictly approves of. He knows very well how unpleasant the experience of the Pit is. He hates to have to admit that multiple family members have experienced it. On top of the trauma of literally dying, the Pit is a trauma all its own.

But at least they aren't dead. At least they aren't gone. Selfish? Probably. Bruce could tell himself as many ways as he likes that none of his loved ones would refuse the Pit if given the choice - and he could certainly argue that if they felt that way they could have made that known in advance of the situation - but in all honesty? He wasn't sure he had the strength to truly offer that choice.

'Letting go' is not a skill he has ever mastered.

Suffice to say the mission was aborted the moment you had fallen. 'Rescue' became the priority, and when it became clear that field aid would not be enough, his only focus had been to rush you back to the cave.

And at least having the rush to focus on had kept the terror at a motivating level, and he could almost ignore the shaking in his limbs as he lowers you into the sickly green water of the Pit. He has to have been quick enough. And you have to be alright. Alfred has already been alerted to prepare the infirmary, you're going to be barred from patrol for at least a month, and Bruce is absolutely not panicking, because you're going to be okay.

And he's here to haul you back out of the Pit when you finally move, and hold you while you gasp and cough, and tell himself that this experience won't haunt the both of you for months to come.