I've done this job 20x times on various customer cars, my own car and many, MANY more A4's with the EA888 motor. Few things to clarify;
-You DO NOT need to remove the IM to do this, remove the TB, TB hose and front elbow pipe. I'd suggest tucking some of the wiring up and out of the way.
-The 12mm bolt is a REVERSE thread and really only needs to be loosened 3-4 turns to relieve tension on the belt. I usually cut the old belt off and and break the the 12mm loose with the old pump out. USE a 6-POINT socket. Use a 12 point and you will destroy your knuckles, or strip the head of the bolt.
-The connector piece should be replaced with the updated (black) part.
-Replace the 2 shorter bolts that join the pump near the ECT sensor - they usually get corroded and are hard to re-thread.
-Replace the o-ring to the coolant pipe that goes into the front of the engine. VW also has an updated part the superceeds and replaces the pipe with the thicker version to prevent stress-induced cracks. It's $30-40 and worth the insurance.
A lot of people shit on flat-rate techs and dealer techs for no reason. There are a lot of hacks out there, but there are also plenty of shade-tree mechanics that don't do much better. Not trusting someone to do their job because of how they get paid does not seem fair if you have not had work done before. I'm a flat-rate tech and while there are plenty of short cuts taken to save time - doing the job incorrectly wastes more time than doing it right in my experience. Time is made by knowing what to do, how to do it and where to do it correctly.