WASHINGTON — Let there be no mistake: President Obama wants the Democrats to win next week’s midterm elections. His voice has gone hoarse telling every audience that from Delaware to Oregon. But let’s also acknowledge this: Although he will not say so, there is at least a plausible argument that he might be better off if they lose.

The reality of presidential politics is that it helps to have an enemy. With Democrats controlling the White House and Congress, they shoulder responsibility for the country’s troubles. No amount of venting about George W. Bush or the filibuster rule has convinced the public otherwise. But if Republicans capture Congress, Mr. Obama will finally have a foil heading toward his own re-election battle in 2012.

“The best possible result for Obama politically is for the Republicans to gain control of both houses,” said Douglas E. Schoen, a Democratic pollster and strategist who helped President Bill Clinton recover from his own midterm Congressional defeat in 1994 to win re-election two years later. “That’s what Obama should want.”

Divided government, of course, is rarely pretty, and a Republican victory would mean the end of some of Mr. Obama’s most expansive ideas, at least for now. If Democrats were frustrated pushing through their initiatives the last two years, they might soon look back at 2009 and 2010 as the glory days.