Public approval of the Senate bill is terribly low. McConnell must be thinking a couple things:
1) Why the fuck do people keep electing us if they don't support this bill!?
2) Goodbye tax reform
People who hadn't painted themselves into a corner would look at this and understand that it's an opportunity to fix what's wrong with Obamacare, rename it, and then take credit for the whole thing, resulting in easy wins in 2018.
But now they're forced to adhere to the nonsense they've been spewing for the last 7+ years. Obamacare can't work, doesn't work, therefore it must be entirely done away with. The problem is, they're obviously incapable of doing anything other than Mr. Burns level shit that's nothing less than plain fucking evil. OTOH, they can tell their constituents anything and they'll believe it.
For example, Trump denied Russia meddled in the elections until a few days ago. Now? Now he says they did and it was Obama's fault. Without the slightest hitch in their get-along, his fans simply started blaming Obama for it. No, "Hey wait a minute, this whole time he said ... and suddenly he's saying ..." Nope, not a single flinch.
So it only stands to reason that the GOP could trot out Obamacare, but say, require the money to be disbursed to each state instead of giving states the option to refuse it and in a few lines of legalese, improve the ACA and switch its name to Most Glorious Jesus Care and they'd have a huge win. Of course, massive tax breaks wouldn't be able to be given, but maybe if the GOP made good policy, they wouldn't be as beholden.
I know, it's a silly fantasy.