No. The unity was a result of very brittle interests that seemingly came together. Or rather almost came together. It was clear from day one that Fayyad would not be acceptable to Hamas.
So why is Fatah pushing on the issue now? It is clear that Hamas will not capitulate.
And this is precisely what Fatah wants.
Understanding now that with a US veto, the UN will not really help move their agenda for a Palestinian state forward. Hamas has all of a sudden become a liability.
Pushing for Fayyad, wily Abbas can internally put the onus on Hamas for the cancelled unity while presenting to the outside world that Fatah has not given in to the Hamas terror organization and so should be received in a more favorable position. They are back to being a "respectable" partner for peace, giving the world an excuse to go back to unilaterally pressuring Israel.
You see in in the Arab world, a win-win proposition really means a loss for the people.
