Continuous load: a load where the maximum current is expected to continue for 3 hours or more.
I would expect that the local Chick-fil-A, which has a line of cars wrapped around the building from 11 a.m. to 8 p.m., and a lobby full of people during the same time, would have its deep fryers under non-stop heating during that timeframe. Other restaurants with the deep fryers in sight of the customers, I have seen them frequently go into low oil temperature, and they have to wait for the deep fryers to come back up to minimum cooking temperature.
If you drop basket after basket of frozen french fries, chicken, egg rolls, or whatever into a deep fryer hours on end, would you not expect the elements to be on the entire time?