Mostly for two intersecting reasons -- the first is that she doesn't really know much about Sakura! And sure, Naruto said that was her name, but Percy immediately dubbed her Bell and that felt like it had just about as much weight to it; neither of these really meant anything to her, so she was like w/e call me either I guess?

And then Breeze gave her Tsunami, which felt more important because it both matched with her mental picture of herself (Tsunamis are powerful!) and because it was given to her by her team leader, with the intent to help her fit into their established theme, which made her feel wanted at, well. Teamy.

So she prefers that.

IF THEY WENT ON A QUEST TOGETHER WHAT WOULD THEY QUEST FOR.