Jeffrey Toobin wrote the exact opposite article this week. Says the White House OWNS the health care system, and whatever bad (or good) that happens accrues to their side of the ledger.
My two cents is that the press can be pretty influential when it comes to the assigning of blame.
Just days ago we read news about up to 50% premium increase for Obamacare policies, if that takes place people will be begging for Obamacare to go away, and GOP will get credit for not supporting it.
So if the Supreme Court rules against Obamacare then the Democrats will immediately propose a one line change to Obamacare that will correct the issue the Supreme Court ruled on. And if the Republicans vote that down then the will own it.