I have killed over 400 deer, the vast majority with firearms, but around 25 with a bow. And at least six of those were shot while still-hunting, not from a blind.
While bowhunting elk in CO I got within range of elk three times, but no big bulls, so I didn't take one. Stalking/stillhunting deer, either with gun or bow, is simply not that damned hard, it just takes patience and concentration. I have had a herd of over 20 does come thru the woods and bed down literally on all sides of me, closest about 5 yards - damned cool.
I've met many hunters better in the woods and I, and know several who have taken elk with a bow. Visit a local archery club and you will meet some, they are NOT rare, just work hard at what they do.
To me it seemed as though the individual elk was not as sharp as a whitetail, but hunting individuals in a herd, whatever the animal, increases the odds of getting 'busted'.
Spend many an evening trying to get close to the cow elk, got within twenty yards once, she did not see me she just stayed that distance away. Had intention of killing her, just enjoyed the chase. And I do not need to visit an archery club, have a really nice bow myself, just do not use it anymore. Lost interest in it. I varmint hunt, more fun, less work.