Mitt Romney on Sunday accused President Obama of "deception and dishonesty" in selling Americans on his signature health care law, particularly in his promise that everyone would be able to remain on their current plans if they chose.

"He told people, you can keep the insurance you have if you like it, and that was not honest," Romney said on "Fox News Sunday." "That was deceptive, and the American people recognize that, and they're rejecting Obamacare."

The White House has since changed the law to allow people to keep their plans through 2014, even if the plans do not meet Obamacare's standards for care.

The show's host, Chris Wallace, pressed Romney further, asking, "If President Obama had been honest during the 2012 campaign, if he admitted that millions of people will not be able to keep their policy, do you still think he would have beaten you?"

But Romney, with a whiff of nostalgia, chose not to speculate.

"I don't know, I wish I could go back and turn back the clock and take another try, but history is in the past, and I'm not going to worry about what could have happened," Romney said.

Later in the interview, Romney hedged comparably when asked for his response to a recent MSNBC segment that mocked his family's Christmas card featuring an African American child adopted by one of Romney's children.

"I recognize that people make mistakes, and the folks at MSNBC made a big mistake," Romney said. "They've apologized for it. That's all can you ask for."

Since he lost his bid for the presidency in 2012, Romney has kept a low national profile, with the exception of a few national news interviews and the occasional appearance to help his wife, Ann, promote her recently published cookbook.