This can be a LONG conversation.
98% of the time I scoff at folks who attempt to read primers like tea leaves. Your picture is, however, outside the normal. My knee jerk reaction is to ask if you launched these from a 686 no dash or dash-1 "pre-M Stamp" because this one really does appear as if it's attempting to flow in to the firing pin bushing and that is a well known issue of the earliest L-frame revolvers.
Yes, a magnum primer is supposed to have a thicker cup, more resistant to pressure. However across differing brands, there is no agreed-upon spec.
Back on the subject of "reading" primers, it has been my experience that the look of a fired primer is irrelevant unless/until you can show pictures of:
same brass
same primer
same bullet
same powder of increasing charge weights
all fired from the same gun/same day
That's a more clear way of suggesting that one perfectly safe/good load with a 158gr and Accurate#9 and another one with H-110 and 125gr JHP have no relationship to each with by the appearance of the fired primer.
(Except of course if the primer pierces or leaks, which is BAD and dangerous)