...will a normal prop work fine on a pusher...
Yes, with an electric motor, a normal prop will work in a pusher configuration.
The term “pusher prop” is an out dated term used for glow engines. With glow, you cannot easily reverse the direction of the spin of the engine. In a pusher configurations, it’s far easier to switch props than the spin of the engine. Hence the name pusher prop.
With electric motors, it’s very easy to reverse the spin of the motor, just swap any two of the three wires of a brushless motor. It doesn’t matter if the prop needs to spin CW or CCW, just make the motor spin the direction needed.
With quads the direction of the motor threads matters. Motors in a quad start and stop many 100’s times a second in order to maintain stability. It’s the constant starting and stopping that can loosen the prop nut if it’s spinning backwards. With planes, the motor runs far more a constant speed, maybe changing speeds a couple times a minute. Greatly reducing the need to have the correctly spinning prop nut.
Just use pliers to give the prop nut a good tighten and you will be fine. Make sure the numbers on the prop are facing the direction of travel. If the numbers face where the plane was, you will only get 40-50% of the expected thrust.