I take "short range / dense cover" rifles on every Elk hunt, and some Deer hunts.
They all have iron sights.
The only reason my "primary" rifles have scopes, is because I've never been able to close in to less than 200 yards on stationary Elk, due to terrain (and I shoot more antelope than anything else - at ranges of 100 yards to 600 yards). I've been plenty close to running herds, massive bulls in a spike-only unit, and sleeping bulls (that are hidden so well you don't know they're there until they're gone).
Yea... my "short range / dense cover" Elk rifles are essentially useless, unless I can learn to get closer. But, I take them on every trip.
Iron sights are not a handicap. It's just that most shooters seem to be too lazy to learn how to use them properly (and you're not cool if you don't have a $2,700 tacticool scope on your megamagnum - even though you're hunting whitetail, at 20 yards, from a stand).
One of these days, I'll learn the habits of Elk, like I have Antelope. When I do, the iron sight rifles will definitely come out more. Until then, I have to stick with the magnification. Antelope are a toss-up. If I'm in a hurry (don't have 4-5 days for a hunt), I have to take longer shots with scoped rifles (250-400 yards). If I have 4+ days for a hunt, though... I play psychological games with the Antelope, until they let me get close enough for an iron sight kill. Even though I generally have a scoped rifle on me, I wouldn't hesitate to go with any of my iron sight rifles.
My iron sight hunting rigs:
Tula SKS, 7.62x39mm - a thumbhole composite stock, and removal of the bayonet are the only mods. It does very well, and I have learned to shoot it instinctively (shoulder it, and it's on target). The old, modified "hunting round", steel-core surplus projectiles are amazingly effective on Elk (surplus that the exporters ground the tip off of, and called it a "soft point" - haven't seen any imported since the late '90s).
Krag-Jorgensen (CMP) Carbine, .30-40 Krag - haven't owned this long enough to get to know it well. Has an original front sight, but the rear is a Marbles' buckhorn.
Mosin M38 Carbine, 7.62x54R - great little rig. This was picked up specifically for short-range Elk, and has not been modified at all. (I would like to throw a Timney trigger in it for the side safety, and to kill the creep.)
Iron sights are very effective. Shooters just have to be willing to take the time to learn to use them properly.