I take on board what you are both saying except the circulation pump IS directly subject to the inflow of water at mains pressure, and every manufacture (ive found so far) requires that the mains water pressure be a minimum of 20psi max 120psi Inorder to provide sufficient water pressure through the circulation pump to clean the dishes properly, if you think how a dishwasher works, using water pressure to spin the washing rotors (at great speed) then a fair amount of pressure from the circulation pump is also required.
There is a separate drain pump in most dishwashers which operates at a much lower pressure, the more I look into this the more I see this type of pumps is more than up to the job the down side is the pump motor is in the region of half a horse power which is serious overkill for this application, and would probably be far more powerful than the engine water pump.