Definitely maybe. It took them 3 weeks to do mine (before I took delivery). Some folks report having it back the same day, others considerably longer. Seems to be a crap shoot.
General sentiment seems to be that newer model years take less time than older.
Porsche Barrington by chance? They seem to have a lot of buybacks - I also acquired mine through them.
Definitely get the updates done as soon as you can. They not only improve the reliability of the PCM, but also have some tangible range benefits as well.
Don't know the answer to your...
Try opening the Android Auto app on your phone, toggling wireless AA off, restarting your phone, then toggling wireless back on, then restarting again.
This fixed the issue for me - wired AA would work fine, but wireless would never connect. After the above procedure I was able to connect...
My '20 Turbo is at the dealer for this exact same issue at the moment. They are planning to replace the onboard AC charger (their phrasing). Waiting on the parts at the moment, hoping they are here early next week.
Same symptoms - AC charging didn't work on either side, but DC charging worked fine.
I had this issue and what I *think* fixed it was opening up the Android Auto app (not in the car) and toggling "Wireless Android Auto" on and back off, and then restarting my phone. That seems too easy to be true so not sure if that was actually the fix, but worth a shot.