For my 27 years experience of CO,WY,MT,ID,NM elk hunting Russell boots proved to be enough if you don't face wet snow and few days of rain.
But if you are looking for a very thought boot to hunt above timberline such as a goat or sheep hunt you really need more support,both lateral and inclined, here were Italian bootmakers excell,not to steer the pot!. The Alps are much more steep and rigged than the average Rockies and chamois hunting is very demanding with lot of dangers for the hunter,that must be preparedalmost as a climber. 200 hundreds years of experiences and dedications have taken many companies to perfection. Tre Zeta,Zamberlan,Crispi,La Scarpa,La Sportiva,just to name a few have models that suit the avid and dedicated hunter.a good pair of boots in the Alps is like a good life insurance.