I only asked because you stated an absolute: "Primers should ALWAYS be recessed 1-4 thousandths" and though you've not "ever" shot brass with pockets like that, it's not really that unusual. Just look at what I found with some virgin Peterson 6.5 PRC LRP brass when comparing them to a box of Lapua virgin brass:
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I use an Accuracy One primer pocket measuring tool so that I can quickly and accurately measure new boxes of brass that I acquire. And last year I picked up a couple more boxes of this Lapua brass (two different lots) and each lot had different primer pocket depths (like, one was at .123 and the other .125, of course there were some with a little variance in each box, but that's to be expected). With such variances and seating them all to "1-4 thousandths" from flush isn't the thing to do if one is trying to get the primer seated against the bottom of the pocket properly. This is why I like to measure things so that I'm not guessing.
Seating by feel works for many shooters and no doubt is works for most shooting disciplines. I'm not sure if it works well for the highest level of shooting. I agree with you that it's important to be seating them all the same. But, I haven't found seating by feel does that well at all. So, I measure everything in an effort to be as consistent as possible. Whether or not that makes a difference in my results is not as important to me as simply knowing that I've taken measures to removed this issue from the equation as much as possible when trying to figure out why my results might not be what I'm expecting.