This question reminds me of Potter Stuart's comment regarding the definition of pornography, which distilled down is "I know it when I see it." In terms of defining what is and is not hunting, I think we need to consider the question in terms of fair chase with the emphasis on the word "fair". In that context, I think a framework for the definition needs to take into account an animal's ability to flee based on its senses and instinct. But my personal opinion is that if our prey cannot invoke its senses in its defense, it becomes shooting. Case and point, I have read of kills on this site where the hunters could stand up, do jumping jack, and probably even yell without alerting their prey. That isn't fair chase hunting.
Before folks respond, understand that from my perspective that doesn't necessarily make it unethical nor drive me to push to restrict it via regulation - it just fundamentally changes the nature of the pursuit.
When I first started hunting, I simply took my rifle or bow for long walks in the woods. With time and experience, I learned more effective ways of hunting that increased my odds of getting a clean shot on an animal (while a hunt can be defined as successful without a kill, we would be kidding ourselves if we say killing is not the intended outcome.) I gradually adopted a blend of still hunting into an area where I could take a stand on the ground and watch an area, thereby letting the animal come into the kill zone. I've killed a lot of deer and bears under 50 yards using this method. When I started taking my daughter (who was 4 at the time) with me deer hunting, I found stands where I could walk with her undetected and watch an area 200-300 yards away, so she could fidget and ask questions, while still getting to see animals. I killed a few more animals like that. Now I've extended that distance to stands where I can shoot at the distances people are bitching about and calling it "not hunting".
The funny thing is, I'm hunting exactly the same way, but I've placed a bigger burden on myself to kill the animal once I spot it. Killing at those shorter distances is easier...much easier!
I would admit that I have seen more animals since I've taken up the long range rifle, simply because I set up in areas where I can see more, but it certainly hasn't increased my kill ratio! The difference between shooting an animal at 50-100 yards and taking the shot at 600-1200 is so profound, it would take an article to explain why and how. Killing up close is easy, killing at distance is the challenge...not the other way around.
All the gadgets and technology in the world won't replace experience, persistence, and skill. I don't watch any of these TV shows that keep getting mentioned, but I'm starting to get the impression they are selling long range hunting as simply buy this rifle, drive up, put down your sammich, and kill that elk a mile away. There are members on this forum who have hunted with us who can set that straight.
As far as jumping up, yelling, and doing jumping jacks, who the hell would do that?

I've stopped animals with my voice at 800 yards and watched elk watch me at 1200 yards.