I know I replied earlier.... Your comment about never using more than 8x makes sense. For years all my big game rifles had lower powered scopes: 1.5-5x on the muzzle loader, 1.5-6x or 1.75 -6x on the centerfires. After taking dozens of deer, some caribou and moose, I've never - not once - needed more than the 6x on my rifles. Shooting was done largely between 100 and 300 yards.
I've gone to more power lately, but its not because its needed for big game at 300 yards. The newer 6.5 Creedmoor doubles both as a blind rifle for deer and as a precision rifle for use on chucks ad crows and general "lets have fun shooting". Its got a 2-12x, but its virtually never dialed in over 6 or 8x when used on deer. It simply isn't needed. However, the really WIDE field of view afforded by the lower 2x most definitely DOES get use. Your thoughts regarding something like a 3-9x make perfect sense (or at least a ton more sense than something like 4-14x would ever be on a shorter range deer rifle).