Feminists

so I think expecting rigid consistency is a bit much.

However, to address your points:

It mentions in the first sentence "the unemployment rate" for women. But then when most of the examples it wants to use have working women in them, it dismisses the jobs (so because she's a shopaholic, being a nursery school teacher isn't a job?). I'm also not sure how Robin is a "failed journalist" on the show as she was a news anchor on the shows I saw (haven't in a while).

It's possible for fewer women to be unemployed, but for the portrayal of main characters in the top sitcoms to depict women as being less successful than their male counterparts. I don't watch the show, so I don't know if Robin is a failed journalist or not. I'll leave that for people who currently watch the show to confirm or debunk.

And the mother on 2 and a half men is an extremely wealthy, successful businesswoman. Oh but she doesn't count because she's also a manipulative mother.

It's not that she doesn't count, it's that according to this, in most cases when a woman is depicted as successful, apparently that is also cast in a negative light.

I also didn't notice any reference to Christina Applegate on that Up All Night show who is a successful TV produce and her husband is a stay at home dad.

Um...

I guess you missed that.

Or Whitney (which is a horrible show but I happen to have seen it) in which I believe she has her own business.

Is it one of the top rated sitcoms? Are any of the others you mentioned?

I don't think they're picking and choosing at so much as discussing main characters on the most popular shows.


Edited to add: This is an opinion piece, not an article. The Geena Davis Institute on Gender in Media might have some interesting statistics if you are interested in seeing more.