Back when I first started watching hunting shows some years ago I viewed an Elk hunting episode, the guide calls in a really nice Bull elk to about 40 yds, the hunter throws up and kapow,,, elk goes about 20 yds runs in circles about three times and drops dead.. I saw other elk hunting shows ,about the same outcome, I was like if it's that easy to call in and kill an elk then I shouldn't run into a problem. Even though it seems kind of a cheap shot killing elk this way I thought of how I hunt whitetail and it isn't much different , so I would still rifle hunt them. Admittedly though I'd say way more exciting to kill em with a stick...
I can tell you from first hand experience, elk are not hard to call in during the rut but getting a shot with a bow is still another story. Besides, most states archery seasons coincide with the rut so yes, archery hunting them is much more fun.