I have similiar problem.
Looks like it is intel hd 4000 problem.
Micro hdmi > hdmi is not working. I also have tf201, and same cabel is working with it.
After checking the web, I managed to get it working just after new/same driver install, without restarting. So, if it is the same problem, your display should work if you install new graphic drivers.
problem with HDMI and Intel HD Graphics 4000
There is post somewhere with solution, to restart the device after power on, but I didn't try that. Will try this weekend.
I didn't try with Displayport.
UPDATE: HDMI works with microHDMI>VGA adapter... I'll try with another micro-hdmi>hdmi cabel.