Yep really! I mean compare the problems that Batman has to face with characters that aren't known worldwide. The problems he gets are cool as hell plot devices. He's got an evil version of himself that is like the ultimate super villain that lets everyone know that if he did go bad he could kill every justice league member. So his biggest problem is that he could be so more awesome if he was totally evil.
His parents died but he's rich enough to still make a difference in the world. He can relate to other people who've lost family, like Superman, Wonder Woman... etc. He's got like 14 PHD's he's the worlds greatest at everything and yeah! His greatest enemy is himself, I mean his problems are cool and relatable and can be overcome with willpower and justice.
Zatanna had to wipe a rapist brain clean, Lives in the shadow of her father and has a legacy to live up to. Is constantly tested with having to fight truly evil beings, not psychotics who've been given a bum deal in life, but actually beings made of literal EVIL. So in her world view, she has to actually kill mofos sometimes because if she doesn't babies get sacrificed to demons from the pits of hell.
Then after banishing some unnamable demon monstrosity has to endure a speech of ethics from a dude who's biggest foe is a clown that kills people whenever the mood strikes him.