I do not know if those are compatible on Edison, but based on this 5.0" TFT DISPLAY+RA8875 Driver Board for TFT Adafruit the driver is not support for Galileo. Looking at the code from adafruit/Adafruit_RA8875 · GitHub you might have to do some tweaking like KurtE did for his library KurtE/Adafruit_ILI9341 to work with 2.8 TFT Touch Shield for Arduino.
Yes, I think this is the case. From talking with others, they also suggested the library might need tweaked in an attempt to make it work.
The RA8875 (4.3" TFT LCD + capacitive touch feature) from East Rising works fine with the Intel Edison. You will however need to modify the existing library to get it to work.
I am pretty sure the one from Adafruit will also work.