The misogyny mostly comes from the fact that this situation happens much more often to girls than to boys (i.e. boy-groups are much more likely to have one of their members ask out a girl on a dare than the reverse, along with associated connotations and social implications).

AFAICT, the reasons why I would expect such an episode to be more common than the gender-reversed version (and both come more from stereotypes than from any actual first-hand evidence -- I'm not even that sure they apply to real life) are 1) boys tend to be more overtly nasty to each other (e.g. asking embarrassing things on a dare) than girls do, and 2) boys tend to be less likely to turn down dates. And I wouldn't slap the label “misogynist” on either of those.