Under FAA the rules are different. They have part 91 and part 135 but these correspond to private/public cat only loosely.
One gotcha in this is with sole owners whose plane is company owned and who rent it to themseleves occasssionally. Under G, that plane has to be maintained to transport cat requirements, 50hour checks, 150hour checks, etc. even though the one person only ever flies it, privately. Pointless.
Under N, it can be part 91, and no 100hr checks unless the owner is training other people in it (FAR91.409). Much more sensible.