Old/stale gas does not burn completely and leaves a gummy mess. When an engine has stale gas introduced, it will still run, but once it is shut off, the mess will wick down (more than it already had) between the intake valves and guides. After the engine cools down, the intake valves are stuck solid, and upon restart, the part that gives are the pushrods. I advised to lightly tap on the intake valves to gauge how solid they sounded which confirms that they were stuck. With the continued attempts to start the motor, the guides were flushed with clean gas which helped free them, in my opinion, and allowed Paul to start and run the motor with the new pushrods. Once the motor came to temp and then cooled, residual gum was allowed to stick 3 valves again, bending 3 more pushrods. This is what stale gas does to a motor, and the reason why you should never run stale gas thru an engine.
The valve guide clearance is fine, the cam is tame, the timing is set correctly, and the deck height is more than enough to prevent any piston/valve contact. The culprit is the stale gas.