In case of use to anyone, you can have a look at a project I recently finalised (all free stuff!!!) using links in this post:
You can adapt the python code I wrote to do what you want, fairly easily, I hope!
I'm working on touch screen presentations for my local museum and wanted to get rid of the cursor. I made these changes to /etc/default/unclutter but it made no noticeable difference. I searched for ways to remove the cursor and found this in the StackExchange Raspberry Pi forum at https://raspberrypi.stackexchange.com/q ... y-pi/69180
That line is in the [Seat:*] section of lightdm.conf. I edited /etc/default/unclutter to stop unclutter from running.I simply added a nocursor option as follows in the file (/etc/lightdm/lightdm.conf)
xserver-command = X -nocursor
and it worked as it should. No cursor is displayed whatsoever.