Regardless, in your case, the refilling was most likely completely unnecessary. The reported error suggests that the problem likely lies elsewhere, as you yourself know.
The A*U action has also already cost you money, and you could have at least
partially paid for the replacement of the stepper motor (yes, I know, the dashboard has to be removed $$$). That will happen to you eventually, regardless.
Furthermore, the type of refrigerant oil varies depending on the compressor manufacturer; for Denso, it's G 052 300 A2, while for Zexel, it's G 052 200 A2 or G 052 154 A2. Ask the A*U technician about the correct or the oil being used. And please don't forget to take a picture of his facial expression and post it here

.