I got driven in a buggy from check-in to the F lounge and felt no need to go any further than the spa opposite. When the flight was ready for boarding I was escorted from the lounge all the way onto the plane, but you are right this didn't involve a buggy - however, this wasn't terribly far.

I really appreciated the value of the arrival buggy when a friend who arrived the previous day complained that at the new airport (he remembers the old one) the distance one has to walk to immigration can be very far. I was able to deliver a very smug reply. (The friend concerned has a lot more money than be, BTW, and can easily afford F but chooses not to.)