I’ve heard some well known coaches don’t see the value in the cool-down. It’s been said that it makes no difference an hour after the session if you have cooled down or not. I think it’s important to indicate, too, when this is for-between track work and weights or after everything is done or what exactly and what is specifically being indicated as a cool-down, a jog, the stretch, both or what exactly? Some have indicated doing some med ball throws like Boo Schexnayder and/or easy skipping/side shuffle, backpedal etc. to re-coordinate the body after all of the major training components are completed.
I will say that on a speed/weights day, I feel it’s important to elevate the heart rate/increase the sweating somewhat after the weights just for the purpose of being able to get a decent static stretch routine in even though the fibers are certainly not as pliable on those days as on tempo days.