Correct.
Registering the battery is erasing computer adaptation. Once new battery is installed the computer will evaluate it's behaviour for a few cycles and then will charge it according to the programmed data (battery type and capacity,i.e Ah) and the adaptation data. Later in the life of the battery it may keep 15v or more in order to keep the battery in the highest [possible] charge state.

I have no idea what this means, but the reality is ANY good battery charger or battery tester will tell you right away if the battery is bad or not. Modern testers are all digital. But a really good battery charger or tester is not inexpensive. If you're working on modern BMWs you need sophisticated tools like this Snap-on Charger ($830):

https://store.snapon.com/Battery-Cha...--P744410.aspx

Or tester ($735):

https://store.snapon.com/Electronic-...m-P647261.aspx

Yes, Snap-on stuff is crazy expensive, and there are other good brands that are somewhat less expensive, but this is what you're going to find typically in a good indy shop.

Update: It was the starter. Repair ~1000$. :(

Rmeuropean.com gets $238 for the $550+ list Bosch starter. So who did the work? What was the labor hours and.cost?