What are we seeing as a lip VanillaGorilla?
Edges in terms of mixture movement within the chamber, sharp edges create more turbulence right at the edge. We not only have propagation going into the chamber center but we have turbulence generating right below the flow moving toward or flame front at the edge itself, where ever this edge may be. An easy way to visualize is take a flat rock and place it in a stream/creek, position it so the flow is across the flat surface. As you watch it, once the water reaches the end of the flat area and then there is no surface you should see a vortex/turbulence.Wether or not this edge(s) can be beneficial with having a radii or staying sharp, only R&D will tell.
Any edge on the piston or on the head will act as a heat sink unfortunately, if we round these, what we call, stress risers down. Our heat absorbtion rate is reduced going into the crown, hopefully.