sort of. The nuts force the prop tightly onto the taper after that they are just back up. Props properly installed require a puller to remove and some have been found with nuts missing but the prop still in place. Personally I favor trouping the big nut against the pro then removing it and adding the small nut and the big nut in that order with proper cotter pin or wire.
A common cause of loos or vibrating or loose props is a key that is too far up the ramp when the prop is installed. That prevents proper seating of the prop on the shaft.
A common cause of loos or vibrating or loose props is a key that is too far up the ramp when the prop is installed. That prevents proper seating of the prop on the shaft.