I tried that one time, and I think that at least for most of us and the equipment we use, we will be hard pressed to see any positive results. I didn't at least.
For most of us likely the best results are found in proper load development by which we determine the powders and bullet favored by the firearm we happen to have in hand.
I'll even go so far as to say that primer choice, as long as we have positive results from the brand in use, will make little difference during the early stages of load development.
Efforts to find the best primer - brand-type - are much like adjusting bullet seating depth to find the harmonics "sweet spot" of a firearm, best done only after we have established a solid base line load by which to judge the results of such changes.
Not saying that always placing the loaded brass in a repeatable position will not produce positive results, but how can we ever know unless we have a solid and confirmed bench mark by which to make that judgement?
Even then, our firearm may not be of the quality that such changes could show confirmed results one way or the other.
Crusty Deary Ol'Coot