I've used both the older Winchester primers in the white boxes, and the newer Winchester primers in the blue boxes.
No difference.
One thing I've seen though, at least on one batch of primers, is that I'm getting a lot of failure to fire a few times, about 2 out of every 100. And the rest of the 98 have light primer strikes. This is on Winchester Large Pistol primers, and out of multiple guns. I think that maybe this batch was made with thick primer cups.