Well Roy if you are only driving six miles or so to the shops it probably will, if you do a lot more milage daily thats where the problems begin with the lack of coding especially if the car is some six years newer than yours and the electrics are totally different.
Steve.
Had similar in my previous A4 but left it because it didn't make any difference to the AC
In your case, it depends which motor has failed. I think there are five, and have varying levels of complexity.
I'd also reconsider your "specialist" and look elsewhere based on that assessment.