The whole point of the time theme is to give the producers unlimited options when steering the show on their chosen course.
Think 'Back to the Future'
As we are primed to accept truth as lies and lies as truth (nothing is as it seems) from previous shows, had Pieface accepted the car - against producer's instructions/wishes - they could easily use time to both affect the present, future AND past.
"Chosen one (possibly Sarah) - you have the chance to change your destiny - however, you cannot change the future without changing the past."
And so Sarah accepting a reversal of her eviction for a place in the final will result in a rip in the space/time continuum.
"Congratulations Sarah - you are a finalist! If you are watching, Pieface, put the carrot down and expect a knock any minute..."
Security turn up at Pieface's house and tow his BMW away amidst many tears. Of course, Pieface his back hander just like Mr Showbiz did on the opening night.
It's just a convoluted version of last year's travesty.