"I should not have to offer anything" Obama sure seems to be setting Congress up to take the fall, all of congress. It is no secret that after Rahm left relations we between the White House and Congressional D's went flat. a relationship with the R's has barely ever existed.
Actually, the House set themselves up to take the fall.
First they failed to appoint anyone to the Conference committee to reconcile the budget.
Then they failed to pass the appropriation bills before the start of the fiscal year. All those bills have to originate the House per the US Constitution.
Then after they failed to do those 2 things, they decided to not pass a clean continuing resolution to keep the government open.
There is no setting them up. They have failed at their job on 3 separate occasions. They have no one to blame but themselves.