Oh, no doubt that Zatanna is lighter than DC's other magical heroes. She is a liminal figure, straddling the magical world, the superhero world, and the mundane world.
What I tried to convey was rather that I think she is a person who wants to trust people, is predisposed to trust people, and has a need to trust people, but her experiences points her in another direction. In that, she is very different from a character like John Constantine, who is much more of a loner by nature.
I think Tynion managed to convey that very well in the opening of the current JLD run. Zatanna wanted to help, and wanted to find confidantes, but at the same time discarded every single candidate she had on working with.