Whether its FPR, Wood, plastic, carbon etc makes no difference in terms of how much it chiped. Its the paintwork that affects it. Crap paint and no matter what you have it will chip. Good paint and the amount of chipping you get is much less.
Sounds like the the bumper you had done wasn't done properly if it got scratched up that quickly. That said its better to give paint around a month to cure fully (you would want to do that before paintsheilding too