I tagged you guys because you also tagged me before, even though your answers didn't have much to do with what I wrote. I it felt the right thing to do.
About the sexism: @nathaniel_christopher said that heros don't have so many meaningful relationships and he used Dinah and Oliver as example (1x1). The thing is, when they broke up, while Oliver was seeing other women (well, he was doing that even when he was with Dinah, but ok), Dinah's romantic life stalled.Ok, everyone feels sad and takes a while to move on after a break up, but analyzing how it's done to female and male characters, to female ones it's like romance is over till she's back with the same dude again. Some cases are so extreme that the character pretty much loses her essence/role after the break up, like when Dick and Kori split up. No wonder her fans wanted them together so much, the character only came back to life when Grayson was around and there was the possibility of reconciliation. Not only is this unrealistic, but it helps strengthen the view of dependency of women towards men, even as characters, which is not helpful.
There's no point in making this any longer cause there's plenty of literature about it already.
Moving on...instead of guessing what Barbara fans think of it, why don't you go to her Forums and check? Or look for the "JayBabs" hashtag on Tumblr or Twitter, see what shows up. What I saw was Babs fans excited about it, and that's for a simple reason: unless you're a Jason/ Dick fan as well, you don't care about them, you care about Barbara. If she's getting all the attention and has 1, 2, 50 guys falling for her, you'll like it, cause you're her fan.
@youknowwhattodo: I ship JayBabs as well as I shipped RickBabs, cause I like how Barbara works with so called bad boys. I said DickBabs doesn't exist in the New 52 cause they've never been together in the New 52. I meant DickBabs as a relationship status. The DickBabs moments, yeah, they were there...kind of disconnected and pretty disappointing at the end of every issue, but still there. I didn't see the JayBabs thing as forced, it was a ride: disapproval, anger, empathy, complicity, crush. Happens more than you think ;)