Rekkis is a drink from the Showa period that is similar to Calpico (Calpis in Asia).
At the time, the packaging declared the drink “tasty and nutritious”. Though it is usually considered a sweet drink for children, it also is one with high nutritional value.
Until the halfway point of the mountain, the stretch that feels the longest is the one between the second gō and third gō marks. So if you think about it this Rekkis Hut is in a ideal location to sell such a nutritious beverage. The Fuji-kō followers grab a Rekkis like we would a Red Bull and boost their energy back up to climb the mountain.