Being out of position =/= making a mistake.
With the introduction of snowball, you are essentially always out of position, when the danger zoned used to be 500-ish range (dash/flash range), it's now 500-1000+ range, which is where everyone is regardless of skill.
A lot of aram games go like this = A gets caught by B and dies, B is now out of position and gets caught and get killed C + D, C+D are now out of position and get jumped on by E+F and die, A and B who died some time ago are now back and jump on E+F, etc. Hence I quote you, no real posturing waiting pushing regrouping..
The waiting on cooldown thing only really happens when one side is losing significantly, if you got stomped the past 3 fights and the score is 10-25, you most likely don't want to fight much again without your R to maximize your chances. When it's more even, you don't wait for cooldowns.
But again, that kinds of depends on the team compositions, if you have lots of poke and stuff on both teams, fights will consist of ppl throwing stuff in eachother direction more than any real brawling.