No, the story checks out. The guy changed his vote. What isn't true is the typical BS DailyKos spewed about the reason.
BS from DailyKos:
Sununu claimed that he voted against Planned Parenthood in 2015 because of the discredited videos that right-wing critics circulated to try to claim PP was involved in the illegal sale of fetal tissue. Sununu now admits that those allegations turned out to be utterly bogus (well, not exactly in those words), and so, he says, Planned Parenthood "should be treated like any other organization that comes before the council."
This is his formal statement:
"Last Year, I voted against this contract after hearing concerns from my constituents regarding the legality of practices Planned Parenthood had allegedly engaged in. I stand by my principle that this state should not conduct business with groups under any investigation or that are embroiled in serious controversy. As has been widely reported, charges against Planned Parenthood for these alleged practices were dismissed by court order. As this group is no longer under investigation, they should be treated like any other organization that comes before the Council"
As you can see, the childish rant from the hate factory at DailyKos isn't even close to the truth. Of course, they count on their readers to not be interested is such a principle.
Regardless, my comment focused on the irony of making a statement about media hyped lies while using one of the most aggressive propagators of media hyped partisan lies on the internet.