From a purely logistics viewpoint (and I am strongly driven by simple logistics) there could be some advantage to more commonality amongst cartridges....
For me, this is more about logistics than performance, and commonality is a big factor in my personal logistical practices.
I nearly made a big mistake several years ago, when I decided to divest myself of those pesky, little, fiddly small primers once and for all. One thing led to another and I ended up settling on large AND small primers anyway. One of the main reasons for that was BALANCE - not having all my eggs in one basket, versatility, etc.
The way I am set up now, if either small or large completely dried up, I'd have something I could still shoot. One thing I've tried to pay attention to is not saddling myself with powders which require magnum primers. I can use magnum primers for powders which don't require it, but using standard primers for powders requiring magnum primers can be a problem.
I spent too many years being low on a certain powder or primer and having a surplus of one or another which did not complement its counterpart. Nothing I shoot now is a very picky eater either. I even make sure that my 357 DA revolvers will reliably fire pistol OR rifle primers and that the powders I use will ignite with standard or magnum.
I'm blathering on now...
If someone started making 30/30 cases with small primer pockets, or 357 cases with large primer pockets, I'd jump on some.