I got my license in Germany and was never required to go that fast during any driving lessons or my test. My driving instructor told me to go roughly the recommended speed of 130km/h to practice some real-world Autobahn driving.

That said, I know of one person who was told to go fast on the Autobahn during their driving lessons by their instructor. Definitely not part of the official test though.

You have to exhibit the ability to drive at speeds that are expected of you. That means around 110–130 on the Autobahn, otherwise the examiner might consider you to be too scared to drive up to the speed limit. I did my driving test in a place where the next Autobahn is about 15–20 minutes away and the speed limit on the roads I had to take was at most 120 km/h. It's definitely not a requirement to drive up to 160 km/h, but going 80 on the Autobahn, or 60 on regional roads (without traffic dictating so) will raise an eyebrow behind you.

On the other hand, your instructor may very well encourage you to try out driving fast once, because having done that is much easier with someone next to you who can help or recover from dangerous situations.