Wrong.
Obama campaigned on universal healthcare in 2008. He tried to pass the public option America’s Affordable Health Choices Act of 2009. But he only had a majority of Congress supporting it, not the required supermajority.
What you describe is what came after, in late 2009 and 2010, once that public option battle was lost in mid-2009. Once it was clear that Democrats could never pass a public option by themselves.