Those issues sound similar but happening much more frequently than those I'm experiencing. The Audi response is the same.
It's unlikely anyone will be able to demonstrate the actual failure as they ask if as in my case it's completely random. I guess the "numbers" game could do that though. The more people report it the more evidence there is. My previous car was an A3 150 TFSI, again with no problems at all over 8 years. May I ask what engine variant you have? Others on this forum all have the 35 TFSI.
Another issue that whilst in itself does not impact on safety is that of the gear shift indicator showing ">N" for neutral. The ">" is supposed to recommend a change of gear. Typically on the first short journey on any day it doesn't appear at all. On later or longer journeys it usually but not always does, again randomly, and sometimes halfway through a gear change in lower gears - typically 3 to 2 or as the car comes to a stop. Possibly irrelevant. Definitely inconsistent.
Page 23 of the Q2 manual says ">N: This is displayed in place of the current gear. Put the gear lever in neutral and take your foot off the clutch pedal. The engine will be switched off automatically". When using the stop start that's also what you do isn't it. So if switched off in this context means literally that doesn't that mean the engine is DESIGNED to lose power when that shows? That could lead to a very worrying place.
I raised that point with customer services at Audi yesterday. Waiting for a response.
Stay safe.