It's ok. Maybe you'll understand some day.
Setting aside the fact that the clean is a specific movement with different muscular recruitment and firing patterns than the squat/deadlift, I've got to reiterate that cleans will not improve strength! Your own bastardized simplification/misapplication of the power equation recognizes that strength is a component of power! Not the other way around!
Do cleans increase power? In the clean movement, yes. But this has less to do with improvements in strength or speed as it does with profiency of the movement. In other words....like anything else, the best way to demonstrate power in an activity is to do that specific activity. That's why your clean increases when you do cleans. Is there transferrance to other movements? Yes, obviously. But is that in the form of increased strength? NO!
Earlier you mentioned olympic lifters, insinuating that their strength is due to their impressive clean poundages. Friend, this is completely bass-ackwards! It is their strength that enables them to clean as much as they do, not the other way around.