Some time ago I acquired a 6.5X47 Lapua sort of unintentionally. Not much choice of primer size or brass - what you see is what you get - one brand (Lapua), one primer size (small).
Doing research on primers I happened upon this:
https://arxiv.org/ftp/arxiv/papers/1102/1102.1644.pdf
Table 1 made me select
Remington 7 1/2's. I use mostly H4350 but with the recent shortage of H4350 I used H414 and Ram Shot Hunter with 140 bullets and Rem 7 1/2 primers. No problems even at moderately cold temperatures like 25 deg. F.
Lot variations occurred with the Fed 205 primer, like 176.5 psi for lot 1CW306 and 208.0 psi for lot 13X416. This would substantiate claims of less than satisfactory performance using that brand of primer, should it be a marginal slow burning powder performer, upon changing primer lot.
The tiny little Rem 7 1/2, as tested, provided 334.0 psi peak blast pressures. The SD was 27.0 and that exceeded either that of both lots of the Fed 205 M. The blast pressure of the Rem 7 1/2 approached that of the CCI 200.
The Rem 7 1/2 appears to be one frisky primer.
Since I am only a casual shooter all I can relate to are 1 to 1.5 inch groups at 300 yards. The report analytical data appear to support my happy Rem 7 1/2 use without a laboratory with lots of expensive analytical stuff. No, I don't sort primers.
The report, logically, attributes blast wave intensity to primer size and explosive content. The report also has some interesting observations about match type primers. I like to look at numbers & graphs.