Do you think Batman could empathize with Terra?
Short answer: Yes. Long Answer: Oh, here we go again.
So, Terra is my favorite character of all time. I want her to live, recover from her trauma, and then become some anti-villain mercenary that just shows up to annoy the titans.
However, I will forever defend the decision to kill Terra at the end of Judas Contract. Her complexity as a bad victim and the tragedy that Terra was just too complicated a victim for anyone in her life to notice or save is what makes her character good. The whole point of the story is Terra should have been saved, but she wasn't. That gives the story it's punch. Terra is a teenage girl who joined the Teen Titans, put on a costume, and died. Her creators sort of half-realized this and half didn't when they made the decision to kill Terra.
"Hers was the power over the earth itself. She could have brought life to deserts, heat to the frozen tundra, food to starving millions, she could have damned raging rivers and funneled water to lands parched dry, and dead. Her powers were limited only by the mind that controlled them. A mind which sought not hope, not love, not life, but death."
Even the panels that narrate her death that call her a psychopath and victim blame her, also speculate on how much potential good for the world is lost by snuffing out life as young as Terra's. Hers is the story of a young girl who by the narrative is doomed to die hence why there is nothing, no hope, no love, no life just death in her mind.
That's what makes the question of "Could Batman have empathized with her" so compelling, because it makes you think and realize there was a chance for Terra, miss "Dead at the beginning of the story" to be saved. So, why wasn't she? Why couldn't anyone involved in her situation empathize with this troubled teenage girl?
Out of context of her creators intending her to be an irredeemable monster, don't these lines, the last one especially sound horribly tragic?
"A mind which sought not hope... not love... not life... but death."