The question, cupcake is whether you believe Whirlygay's original post, which of course conveniently omits huge amounts of text and data, proves that Obama lied about anything here, or that anybody who believes these numbers is a schmuck for swallowing (and defending) lies.
Yes, I believe that President Obama is influencing the vast apparatus of government to lie, obfuscate, and duck the truth about the number of real signups to make himself look good, as per the OP.