The rest stop is a god/send to reach the top without being out of breathe or straining.
It starts with your - let's say- left foot down hill. Straight legged . All your weight on that leg.
You should be able to freely lift your right foot up hill to place. Place but do not load bear.
Push off and up on your left leg until your body is up level and you are ready to transfer weight on to the right leg, straighten it having totally released weight off the now free left leg.
Utilizing the down leg to push up engages the rump and causal thigh muscles, giving a momentary complete break to the other leg. It is less wearing than pulling your weight up with quads.
Now if you breathe with each step: breathe out on push off, breathe in when swigging the other foot up. Tough steep climbs will mean one breathe for each step. You'll be oxygenating enough to not go over into anaerobic. So when you arrive, you will find you're breathing normally. If it is not so steep, or you are more fit, you might be able to take 2 or 3 steps for every breath
This might explain those in the forum who talk about being the tortoise who beat the hares
Nanc