As I see it, if he rides in the car with the Queen on Christmas morning, he'll not be riding with the Queen but rather riding with his mother. Its hard to see sometimes but there *is* a separation between HM's roles as Queen and as a mother. Would any of us really turn our backs on a wayward child or loved one (no matter the age)? I know I couldn't do it.
Andrew, through his own thoughts and words expressed in the interview he gave showed the world just what kind of man he is and its not an image that the "Firm" wants to present to the world and therefore, he found himself out of a job. That's the business side of the family. I can't see that being a just reason for a mother to ostracize and shun her child. We have to remember that Christmas at Sandringham is for family. Its not a public engagement to appease the general public.
The tabloid press can and will present any bad headline they can come up with no matter what happens. Its what they do. The day the British Royal Family presents themselves to appease and pacify the tabloid press is the day I think there'd be a republic in the works not long afterwards. They'd no longer be real people that strive to make things better for the people they serve but rather puppets on a string dancing to the tune of the Daily Mail and others like them and present themselves as cardboard cutouts.