The advert is incorrect in describing it as a facelift car. It’s a pre-facelift car with no oddities that I can see.
Pre-facelift cars all have the “five tube” instrument cluster, with the clock to the left of the speedo. All facelift cars have the “three tube” instrument cluster with an IWC clock between the centre air vents.
The “hockey stick” gear selector was only used on the M156 engined cars. All M157 engined E63 cars (pre-facelift and facelift) have the selector that’s on that example. The COMAND system would normally have had the amber/black colour scheme, but I'm lead to believe that you can code them for the later grey/black colour scheme, so that’s my guess as to what's happened with that car.
From memory the pre-facelift cars didn’t have a powered boot lid close option, and without seeing a shot from inside the boot I can’t tell if that car has the split/fold rear seats or not.
The early service history has sub one year intervals between a couple of them. Maybe that coincided with changes of ownership? Of more significance is the two year gap between the last and last but one services. I'd want to know why.
Lastly, regarding the dealer (who clearly doesn’t know much about E63's): I know it’s a minor thing, but why on earth take photos of the front of the car to use in an advert with the star cocked to one side?