FedEx even has a video published that compares their 777 to a UPS 744 on the PVG-MEM/SDF run
Saw that video, also saw the big deal FedEx made when they started flying MEM-DXB non-stop. In the end, UPS still picks up until end of business day in Asia and DHL still gets packages delivered earlier in the Gulf.
More non-stops is great for FedEx's pocketbook, not a big deal for sales. Customers only care when they need parts yesterday and it's between 1800 and 2000 in Shenzhen. Any other time and UPS does early delivery to more of the US. So who's really ahead?