I don't think it comes across as dumb. It's made her a fairly popular character so far. I think it makes her kind of unique. She's not so inept that she's a joke, she's just too weak a link to be a team member on the level they're on. It can make her a wild card. She starts things that quickly get out of her control or can't be relied on enough. I think Bruce described it to Tim once by saying she's just a weak link he can't have on his team.
I think it's a compelling thing about her character, that her limits are what they are. I'd be kind of annoyed if they got rid of them.