I made some calls this morning and for a prefabricated part we are actually too late. I also don’t want to delay the whole construction because of the staircase, so I will meet again with my stair builder and talk about the quality. If necessary, there is some solution in the end. Our requirements are not that strict; it can look "rough" as long as it is smooth, sealed, and waterproof so that no one gets injured (especially children climbing up, etc.).
If necessary
Plan it best so that you can later cover the staircase with something. This concrete trend will cause many a lot of rework in a few years.
There should still be a final solution possible
Actually, we never planned a fair-faced concrete staircase from the start but rather with a vinyl covering. That was because we initially wanted to tile the adjacent hallway area. But then we thought back and forth and were ultimately bothered by a transition from the open kitchen to the living room and also couldn’t quite get accustomed to a tile for that area, so we decided to reverse the contrast, that is to design the staircase in fair-faced concrete and then cover the adjacent floor areas with vinyl.
But it’s true, one should actually leave some room for a later alternative, but how do you then make the transition? Filling a few millimeters later sounds good. If at some point you decide on a covering, you could possibly sand it down again to level the floor with the adjoining floor.