I call it the psychological effect. Other forces are right foot location, weather conditions, fluid level, owner expectations, transmission condition............If the transmission is shifting sloppy or less precise, then I would think that there was a mechanical or electronic problem to deal with.
Another thing to consider is ATF mileage usage. If old fluid was saturated and there was varnish/crud/sludge anywhere in the ATF passages, then the new fluid will act like bleach. It will quickly become dirty again. It is important to change ATF regularly. For cars with ATF change intervals over 30k miles, then you should change it again(after about 1-3k miles) to remove anything that the new ATF scrubbed! This is important with partial fluid changes(drain/refills of pan) and less so with thorough pro-flushes.
Fluids sometimes use different additives. I don't care for mixing. Pick one and stick with it. Playing multiple fluids is asking for trouble. It is well known that some have different additives/TAN/TBN/viscosities/viscositycurves...... Mixing two aint all that good.
Some people confuse shift quality with the fluid when it is the actually valve body/ECU/TCU/whatever that is controlling the transmission. Some automakers program the transmissions to slip for smooth seamless shifting. Fluid changes with these transmission require the ECU to be reset so that the vehicle relearns and adapts to how the transmission/user are working. Pretty scary. This is why each automaker is now specifying their OWN type of fluid. They want seamless shifting(i.e. controlled slipping) and the least possible change in variables. I prefer shift kits/VB mods that allow "click" shifting.