unclutter
General
the purpose of this program is to hide the pointer after the mouse has not moved for a while. Using it, you can make the pointer appear only when the user touches the screen, and disappear right after it. (maybe this was not exactly what you were aiming for. But it is much easier than your alternative =P)
Installation
$ apt install unclutter
Commands
#the number is a number of seconds before the pointer disappears (in this case, 1/100 seconds)
$ unclutter -idle 0.01 -root