What each drink says it is for
Abbott describes Pedialyte Classic as an oral rehydration solution with glucose and electrolytes to help replace fluid and minerals. Abbott says it can help prevent mild to moderate dehydration from vomiting, diarrhea, exercise, travel, or extreme heat, and says to use it under medical supervision for mild to moderate dehydration during diarrhea and vomiting. That is Abbott's direction, not a hangover claim and not Joyrise advice.
Gatorade's Performance Partner sheet places Thirst Quencher on the fuel side of its lineup. The purpose written for that column is longer-duration, moderate-to-high-intensity training or competition, with carbohydrate to fuel working muscles and electrolytes to replace what you sweat out. The serving note under the sheet is 12 oz. Other names on the same page, including G Zero, G2, Gatorlyte, Endurance Formula, and Gatorade FIT, are different formulas. This comparison uses Thirst Quencher only.
Sources: Pedialyte Classic: oral rehydration solution description; Gatorade hydration portfolio, 12-oz serving facts
