Specifications aside, FPL is perfectly suitable. However, my advice is to run FPLP. You'll need it anyway if you run it in a drop ceiling used for "other environmental air", and if you accidently use it as a riser between floors your labor costs to re-run will eat up any savings in material. Keep nothing but FPLP on site and you can't make a mistake.
Please note that if the building is going to use "floor above, floor below, floor of incidence" type notification instead of evacuating the entire building on alarm you will need CI or equal for the riser between floors. Since UL pulled the listing for all CI and CIC cables, you'll be left with MI, and that just bites.