What does Obama want Obamacare to look like?

Ezra Klein thinks that the lack of program specificity from the White House is causing problems for Congressional Democrats, as "no one knows quite how to structure their strategy so long as the White House refuses to fully show its cards." Clearly, Peter Suderman has this exactly right:

what Obama really supports is the passage of a bill—any bill, just so long as it can more or less legitimately be called "health-care reform." Now, it's obviously impossible to know for certain what the White House's thinking is. But my guess is that what he supports isn't so much one version of the public plan or another, but instead, whatever flavor of the public plan is most likely to result in successful passage—and thus, political victory.