I think home fries is when you cut the potato in cubes and wedges (the recipe says 1 inch chunks) and then fry them.
Depends on where you're eating honestly. Some places call long flat fries home fries and other places call just like cubed fried potatoes home fries. Basically any fried potatoe shape that's not shoestring French fries might be called "home fries".
in Pennsylvania it's grated or flaked potato pieces fried in a skillet, like only one coarseness step above hash brown