Don't the fascists need 6 Fs total?
You are correct. However, the odds are still better of getting 2 F's before 2 L's in the current deck
Additionally the next policy (even if passed randomly) unlocks another assasination.
If this is the third failed vote in a row the top card in the policy deck is enacted, ignoring the power if a fascist policy was passed, and everyone becomes eligible to become chancellor again.