I’m currently dealing with the exact same issue on our 2004 Limited coupe. I had the RCM refurbished and have replaced both the crankshaft position sensor and camshaft position sensor with bosch units. Starts right up when cold and runs great once started but is slow to start when warm. Plea update this thread if you get it figured out. I intend to have our fuel pressure checked but haven’t gotten to it yet. A new fuel pump could be and expensive fix but if I know it works well worth the investment for peace of mind. be