@contrex,
I think this might be one of those things where there is an official term, and then the word everyone uses.
I have only ever used or seen "fries" or "french fries," not "potato fries." Sometimes "home fries."
"Sweet potato fries" are a separate thing, made from sweet potatoes rather than regular potatoes.
(Incidentally, the first image in your Google search screen shot is of fries that are quite orange, probably sweet potato fries.)