I am not too terribly old, but seem to remember reading somewhere in my youth (30-35yrs ago) that again I think I remember James Mellon or maybe Bert Klineberger, shot the first Ovis Poli taken in the modern era with a .270win. If it was Bert it would have been a 7mm. But then again a Alaskan Outfitter friend just in the last year or so used a favorite "travel" .375 H&H. Neither would qualify as a flat shooting heavy hitter.

But back to the question, I think most any medium will work as none of the game mentioned is "heavy". Maral may go 500lbs, no Ibex or Ovis will be more than that if 400. Seems to me from what I have learned about the modern technique ( or lack there of) is that on Ovis Poli, you will engine up on your prey in a Uaz and when with in a half mile the "guides" will "encourage" you to start shooting. When you are 30,000us+ into the hunt well then a big hunking high velocity 33 with lots of scope seems to be in vogue.

This same question is posed often about Gemsbok and Mountain Nyala. Both "heavy" and both "Long Range". True being thou that the best trophies of yesteryear of both where taken with quite common , .303 .30'06, 8mm, catridges.

JMNTBHO.