I have a "normal" name - really popular for my age group and all that. My sister's name, by comparison, is kind of "weird." (A lot of people would probably call it a "hick" name, actually.) My sister is a hundred times more popular than I EVER was - she's her class' Vice President and has tons of friends and is really well-liked. She had some problems with bullying in the past, but it was never related to her name.
My two best friends are
Berlin and
Mary. In high school,
Mary got picked on WAY more than
Berlin did. I wouldn't say
Berlin was "popular" in the sense most people think of the word but she had a lot of friends and everyone always thought her name was really cool.
It's things like personality and lack of confidence and quirks that kids go after. Names can be fodder just like being overweight or freckles or glasses can be fodder (my sister, when she was picked on, was picked on for wearing glasses, to the point where she eventually begged for contacts), but I very much doubt many kids are picked on JUST because of their name. I can't think of a single instance of that ever happening.