Well, my wife took the 35d in this AM. After a chat with our SA about the OBD II codes etc., he said they would do the diagnostics while she waited consuming lattes & pastries
My wife called back pretty quickly and said they were in the process of replacing the ... wait for it.....
Air Temp Sensor 13-62-7-812-741. Imagine that.

Amazingly, our dealer actually had the part 'in house', BUT...
only because they had ordered one for another 35d owner who hadn't scheduled to come back in to have it replaced yet*.
My wife just called. The repairs are completed. So this CAN be a 2 hour 'while you wait' repair IF your dealer has the correct part in stock.
I'll post more details when she gets back with the 35d and the paper work.
Funf Dreisig
* Our SA says he sourced the part for the other 35d in 2-3 days and notified them when it came in a couple of days ago. So because of how busy the shop is, he can get another one, before he can schedule their repair.