We stayed in room 4041 (BW view) 3/9 - 3/15 and did not have a very good signal. I could detect the wifi, but could not really do much with it. The hard-wired internet was still working with my travel router. I had my own ethernet cable, as I don't think one is available in the room anymore.
We moved over to the Grand Floridian on 3/15 and had a great connection with the free wifi.