The main question is that one will never have a flat measured FR. We will get many frequency responses, with different deviations at several frequencies, but there is always a subjective appreciation of which is the best.
Absolutely. Every location gives a different response, with peaks and nulls at different groups of frequencies. The only way to truly approach a flat response is to address the room using bass traps. With bass traps the response is not only flatter overall, but also varies less with placement.
--Ethan