Should I be able to turn the prop when the engine is in gear?

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Seems odd though. It's a mechanical gearbox with crown gears. I can't see why it would behave like that.

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I'm not sure what you mean here by crown gears, but in many gear-box designs, the drive is transmitted through friction clutches which have a self-servo action to increase the engagement pressure with the applied torque, hence it will slip one way but not the other.
 
I'm not familiar with your VP box. I'm thinking of boxes such as the Hurth, Yanmar etc. which have parallel input and output shafts, and helical tooth gears. In these there are plate or cone cluches sliding on helically splined shafts. These connect the gear to the shaft. Both forward and reverse sets of gears are in constant mesh but only one set is transmitting torque. The splines exert end load to force the clutch into engagement.
NB My definition of a crown gear is part of a bevel gear set, with shafts at right angles, do you mean this? This would apply to, eg, a saildrive
 
Agreed, it's totally different from any gearbox I've ever owned. It looks like an old-fashioned crash gearbox with the difference of bevel gears. Bet you could make a fair old crunch if you're too hasty!
Having said that, engaging reverse to stop the shaft spinning is the same as the Hurth box
 
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