Rempe always gets rock solid in his stance - he has great mechanics all the way through the stroke- nothing fancy, just rock solid from years of just playing pool correctly. Rodney has a very fluid flow- through stroke, and his approach is more relaxed, with his observed intensity seemingly reserved for the vital seconds of the actual execution itself.
Pockets on these tables look so much larger than the pro cut Diamonds of today. I personally think that the robotic approach to the stroke that you see today is almost a requirement to be consistent on today's pro cut table set up. One reason that I agree with the OP that pool looks too robotic today- Not too many fast and loose guys anymore