Code:
sudo apt-get install libxcb-xinerama0
does enable Calibre to run. Interesting it claimed libxcb-xinerama0 was a previously de-selected package.
Obviously on Mint 20.1 something installed that library.
Some cryptic messages in the terminal window on 1st run, but Calibre is working.
So seems to be a QT issue rather than Calibre, Linux Mint 18.4 or even having various other QT4 and QT5 programs installed. Even having the current QT development framework installed doesn't fix it.