What folks always forget is the following...
How far did the animal travel in your scope when it ran over the hill, maybe it stopped half way up and looked back? Or 3/4 of the way up and stopped and looked back? Maybe it ran towards you and down the slope (common). Maybe it's moseying around feeding or being distracted by other deer/elk? Or maybe it's a bear that never really stops moving as it grazes along?
Unless you are crazy well practiced on animal distance travelled through the scope (which is pretty much nobody, myself included, when in the mountains) guys are generally off by minimum 50-60 yards, most of the time closer to 100+ yards on animal distance from where it was when they ranged it, to where it is now that they are ready to dial or hold over for elevation (nearly always on an animal they want to kill, adrenalin is pumping and the thought that the animal moved 123 yards didn't even cross their mind).
My point is, to be truly effective in what I've seen, you need to re-range the animal anyway if it takes off or if it's moving at all. No matter how fast somebody may be dropping down and shooting off their bino harness, you still need an accurate range in my opinion. Using the reticle to try and determine a range or "guessing" and holding over, etc. nearly never works effectively unless someone is world class, especially when past around 250 yards.
Slow is smooth, and smooth is fast. Unless you regularly time yourself and practice ranging/re-ranging, you will 100% not know if you are "quick enough" to get a shot off on a "moseying" animal that the yardage potentially hasn't changed enough to make a ballistics correction.
I think a lot of folks assume that some guys on Rokslide are promoting "laying down as fast as possible and blasting away with a compromised position". If someone thinks that's the objective or goal, they are completely missing the point and aren't well practiced in the overall shot process.