The biologist in me says this all has to do with fermentable sugars, salinity, and Ph buffering. Yeasties are living creatures that need a
controlled nursery, AKA "wort" in a fermenter. Different strains of yeast do different things in your wort because there environments were controlled over a period of time. Let me make sense here. Yeast is privy to natural selection, this process is a adaptation mechanism, through this process we derive the different strains of yeast. The easiest variables to control are environment (wort). So theory would dictate if we were to take a yeast, say an ale strain, that works well in the warm temperature ranges over time if we lowered the temps gradually, the yeast would adapt and eventually you would have a lager yeast. This is just a simple explanation, but it works. There are in-fact many variables to consider and a lot of thought that goes into strain creation, but I expect that the difference between Safal-04 and Nottingham is the Yeast. They are different strains and thus will have different results in the same wort and it really doesn't matter much if you hit there ideal wort, yeast is selected for flavor profile, attenuation, and the such. Is it more clear, like mud.