Hi Marius, I have had issue with this in the past. But fortunately these kind of clients have a small budget, and I can usually commission the Greatives team to build me a custom header design from supplied visuals. Which is great.
Would be nice to have some simple options, like search and basket for example which can be quickly and easily added to the mobile header (from theme options, for clients with limited budget), as I think this is becoming common place for UI/UX now. Even it means we have a smaller logo area.