if you use a plain flanged nut then you a a 50% less chance of slipage over a plain nut and plain washer, but the flange bit can do damage to a soft surface as it is rotated and tightened, so where the parent material is soft (eg alloy primary case) the plain steel washer and plain nut (or bolt) would be best, because at the point of correct torque the nut can still slip on its washer,providing a sort ogf "bearing" surface (steel on steel) but the washer will not rotate on the case (steel on alloy),they have their uses, eg they are realy good at fixing sheet metal to more sturdy frames such as angle iron, usefull for fixing plastic type things to harder material (wood/stone) or to like material and stuff that generally does not get removed and refitted as a routine.
CLEM