Mash for four is a technique question. Mash for twenty is a logistics question. The recipe barely changes; the pot, the clock, and the order of operations change completely, and that is where large-batch mashed potatoes go wrong.
Plan on half a pound of raw potatoes per adult, three quarters of a pound if mash is the main starch at a holiday table. Twenty people means ten to fifteen pounds, which is two stockpots and the kind of small equipment a catalog like Sopito carries, not restaurant gear.
Uniform two-inch chunks finish together. A pot holding fist-sized pieces next to quarters gives you a batch that is raw in the center and waterlogged at the edges, and waterlogged potato is one of the two ways mash turns to glue.
Potatoes go into cold water and come up to a boil with it. Dropped into water already boiling, the outside turns to mush before the middle warms. Salt the water like pasta water; unsalted potato cannot be fixed later without oversalting the butter.
Drain the potatoes and let the steam walk off over low heat for a minute; wet potatoes dilute the dairy. Then rice them. Hand mashing fifteen pounds goes uneven by the third bowl because your arm is tired, while a ricer is indifferent to fatigue, and it removes the temptation to grab a mixer that would tear the starch loose and turn the batch gummy.
A twenty-quart pot takes forever to boil on a home burner and cooks unevenly, because the bottom layer is crushed under the weight above it. Two eight-quart pots on two burners finish sooner and give you a second chance if one goes wrong.
Fifteen pounds of peeling is honestly forty minutes of work. Recruit somebody, or pick a thin-skinned potato and skip peeling for a rustic mash. Do not still be peeling when the first guests park.
Cold mash comes back best in a covered dish with a splash of milk at 325 degrees, stirred once. A microwave works if you stop and stir every ninety seconds. Both beat a saucepan, where the bottom scorches before the middle is warm.
Rinse the ricer under hot water the moment the last batch goes through. Dried potato starch sets like cement in small holes, and an hour later you are at the sink with a toothpick.