Not on that basis. An argument could easily be made that Arthur was subjected to similar scrutiny when his eligibility was questioned. And, again, successful fraud (if there was) would not set any sort of precedent, but rather justify increased scrutiny as an appropriate remedy.
The 14th Amendment has given us Roe and Plyler.
Plyler granted Constitutional Protections to Illegal Aliens.
So, if they were willing to give Constitutional Protections to illegal aliens, they would have no problem with granting EP to Obama.