Here is my thinking....add a few quarts too much oil and try that. Just throwing that out you can always drain some with a siphon later.
My other thought is why have the clutch in anyway? It will be out when working any way or most of the time guess I dont see why it would matter either way just seems strange to me to have the clutch in I guess.
As I'm sitting here thinking about this I may have been causing the problem myself. Since the strainer cavity drains back to the tank on shut down and the system must run for a minute to clear itelf of air that may be the problem.
FWIW - On this model it is a known characteristic that there is a delay - maybe 30 seconds - between starting the engine and when the 3 point will respond to the lift lever. (there's still a delay, but less, on a re-start).
Whatever causes that might be relevant to your analysis.