You will be better served if you read the answers to your questions.
re: 'My question was, if the main and side valves are stuck, will that rod still spin when the engine revs'
And the answer was, 'If stuck, won't move.' Of course, if the thing is in a couple of pieces, some part of it may well still move. ;)
The whole thing is geared to work together. If you access the nut under the left-hand slotted cover, turn it, you will see everything move as it should if the system is working as it should.
IF you see the main shaft move (the main shaft being the one placed horizontally in the cylinder), it should move the actuating shaft that goes down into the right-hand case area.
You can feel the main spring tension when you actuate the system by hand. If that spring tension isn't there, the top 'stuff' isn't connected to the bottom 'stuff.'
The actuating shaft isn't easy to see with just the clutch cover off. In order to see the shaft and the actuator clearly, the right cover needs to be removed.
Basically, if you actuate the main shaft via the LH nut, you will be able to tell what works, what don't, and why it don't.
As said repeatedly (in case you missed it) do not start the engine until this is resolved. Don't even kick the thing over. Just 'cuz you haven't ruined something yet, doesn't mean it can't still happen.