I think the problem was that I was setting the parameters of the unbreak input profile not properly, so that I got following scopes diagram:
And then I increased the exposure and the image was very bright and without contrast.
I found this github issue from you (@kofa) where an explanation from AP is linked. I get now good results using a C1 color profile + unbreak input profile.
The links are:
Interestinly enough there says that the unbreak color profile was the predecesor of filmic rgb