Thank you for the link: that is useful and interesting.
Meanwhile, at home I have the Apple 27" display connected to the thunderbolt port 1 of the mac pro (late 2013) and the other thunderbolt ports don't have anything connected to them. Lot's of usb chargers are connected to the USB ports on the mac pro and also on the display. There is an airport express connected to the mac pro ethernet port 1 because the mac pro is situated in a place awkward to receive wifi signal. So the wifi on the mac pro is switched off and the airport express does that job. I have the latest keyboard and trackpad (the ones that connect by bluetooth or lightning with rechargeable batteries).
Every so often the display freezes: the trackpad and keyboard give no response but if I log in to the computer from my iphone (ssh) it seems it is still functioning. In those circumstances, unplugging and replugging the thunderbolt connection to the mac pro sometimes fixes the problem after a 30 second wait. But sometimes I reboot the computer and then things are fine again. Another issue is that sometimes the USB ports on the display appear dead.
Yesterday I purchased two thunderbolt cables (which are amazingly expensive) and connected the display to the computer by using the thunderbolt port on the back of the display. This does seem to have dramatically improved everything. The display is considerably more responsive. So far ..
Thus the cable with thunderbolt and macbook charger is not being used today.
It's very natural to guess that there is something wrong with the display's built in connecting cable.
I am hoping this explanation gives you a clear idea of the external setup I have, and maybe you can comment on this. Should I take the display into the apple store to have it checked out?