For semi-auto ammo, toss the FCD and get a taper crimp die (semi-auto ammo should not be crimped, just remove flare. Neck tension of properly szed case will hold the bullet in place). For revolver ammo, toss the FCD and get a roll crimp die (A roll crimp is used with all crimp groove/cannalure bullets to keep them in place, along with neck tension, and in some cases aids ignition of powder). Google or search "Lee's Factory Crimp die" and you'll get some of the on-going debate on the worth of a Lee "post bullet seating sizing die"...
Yes, the type and amount of crimp can affect accuracy.