He also gains nothing whatever by lying about it, rather the contrary in fact.
That seems clear to me also, but what I can't figure out is why the WH would want to submarine his candidacy. Specter has almost no chance of winning but Sestak, like him or not, has some kind of chance. By backing Specter, the WH improves the chances that their regime will be toppled over the next two years. They're all extremely smart (if also extremely power-hungry) so they HAVE to know this? What are they doing?? What can they be possibly thinking??!?