I think they are aware of her, but don't really have much of a strong view of her one way or another.
So this won't reinforce that view because it doesn't really exist. I mean, the ones who complain the most about stuff like Batman one punching her is us on places like this, which doesn't really count.
Again, nobody but comic fans really label her as "street level" besides comic book fans. That's not a term the casuals use or care about. And we ultimately don't count that much in the grand scheme of things.