Heating juice is done for the purpose of pasteurization. If it's not being shipped across the country and stored on a shelf for an extra week this can be skipped.
Hot pressing is done for oils to make them flow more easily, otherwise much of it stays inside the grain. Juice doesn't have this problem.
Cold press is done slowly, usually masticating, because heat oxidizes the juice and destroys some of the nutrients.
Heating juice is done for the purpose of pasteurization. If it's not being shipped across the country and stored on a shelf for an extra week this can be skipped.
Hot pressing is done for oils to make them flow more easily, otherwise much of it stays inside the grain. Juice doesn't have this problem.