I don't see a lot of evidence that Reid had the ability to whip an extra 10 votes+ on the issue. What makes you think that he did?
You don't see a lot of evidence because Reid et al didn't try hard enough. What they needed to do was both carrot (do whatever it took to get the votes) and stick (nuclear 'you are either with us or your career is over') options to those undecided/unwilling. These people are Politician. They have the same type of morals as Lawyer, more likely, even worse. They'll go along with it, the pot just needed to be sweetened enough, and the consequences for not doing so needed to be dire enough.
Instead what the Dems did was a joke. A few no shit things that taken individually the Reps would have even joined with them in passing, with some sh1t thrown in.
Here is the end result of this historic failure: The US public will now drift along with Bummercare for however long, instead of UHC. Taken on an individual and collective level, really, I don't think any Congress has produced a larger failure than that - ever. Stop making excuses for them, or deflecting. Their failure is so large if they had any self respect (and I know they don't, they're Politician after all), they'd hang themselves with an apology note.