Gatorade is pure sugar water. If the osmolarity is 900, your body will add water until it is ~300, then suck out the sugar and water together, replenishing the water to your body. Meanwhile, you are losing water to sweat and breath. If the lag time it takes to dilute the gatorade and then reabsorb is too long, you get dehydrated. Drinking more gatorade won't fix this because it only increases the delay. Drinking straight water would help since that both dilutes and adds water.
Pedialyte does NOT contain calcium or magnesium, both essential electrolytes that are depleted during exercise. It also contains SOME dextrose. Dextrose is a monosaccharide which is worse than sucrose for boosting your blood sugar because it only contains a single glucose molecule per "unit of osmolarity".
Immediately upon ceasing exercise, your muscles are trying to replenish glycogen and if your blood sugar is low, that is coming from fat and protein, neither of which is efficient. The result is within 45 minutes everything calms down, the fat and protein burn slows and your muscles settle in on the glycogen level they got.
If you want to increase your muscles' glycogen stores capability and prevent the burn up of your proteins (muscles), you need to dump a lot of glucose and some aminos in your blood asap.
The sweet spot (pun intended) for glucose absorption is with the mid-length glucose polymers found in malto-dextrin. Longer polymers (starches, more glucose/molecule) take too long to break down. Shorter polymers (dextrose-sucrose, one or two glucose/molecule) don't deliver enough per molecule. The important thing is the osmolarity, which is primarily the number of molecules per unit of water. For the same osmolarity, dextrose delivers one glucose while malto delivers about 10 glucose.
You also need a broader spectrum of electrolytes than just salt or lite salt (sodium-potassium). Take at least a calcium-magnesium supplement as well, or choose foods that boost them.
I must take issue with the "nature knows best" meme. If that were the case, then the plague and flu pandemics wouldn't have occurred, we wouldn't get gangrene from untreated wounds, and we wouldn't have famine. Nature doesn't "know" anything – it just is.
Eat natural and healthy, but know what is in what you are eating and why you are eating it. Your body is excellent at working with poor environmental choices such as diet and stress. That doesn't mean it is working optimally or even close to it. Get your vaccine shots, treat your wounds with anti-biotic ointments, and eat to maximize your body's capability.
Since I have switched from gorp and granola on trail (starch, fats, and sugars) to malto-amino sources, I've found an enormous difference in performance and consequently enjoyment of the hikes. Leisure hikes that used to have me huffing on the hills have become like a stroll in the park. Deep glycogen stores let me skip like a mountain goat up short, steep climbs where I used to slow to a plodding pace.