He is proposing to cover the bowed wood with a strait piece of wood and then attach the door molding to that strait piece. To get the door not to rub I believe he will have to adjust it so it hangs slightly off vertical. I want him to tear out the frame (which means he has to redo some drywall now before the cabinets are installed ) and install it properly, as I believe it will be a problem in the future. By covering it up the way he plans to do it, you cannot just take off the final finish pieces and adjust the door. Instead you would have to take off the molding around the door as well as the final finish pieces which means you probably damage drywall.
Am I being too picky or am I just asking that I get what I'm supposed to be paying for?