Yes. But perhaps not as much as one would believe. Where is your hands at impact and where do you want to have them? Then you have to account for the shaft flex. Stiffer shafts requires flatter lie angles because they will flatten less when CF is pulling the clubhead.
Have a look for instance at Fowlers impact vs Hogan's impact. They are both really flat after transition. The biggest difference is that Fowler lets CF throw everything on plane through impact, so there's an almost straight line from his Left shoulders through his hands and to the sweet spot. While Hogan's holds his form much longer and goes through impact with lower hands. Hogan needs a lot flatter clubs than Fowler. Or perhaps what we see in Fowler is adaption to modern lie angles?