Hello ,
I have a solution to our problem,
After loading the automationhat library
I have, as you , all right but exept screen.
To solve, i have loaded enviroplus-python library.
curl -sSL https://get.pimoroni.com/enviroplus | bash
See https://github.com/pimoroni/enviroplus-python
After reboot
Examples in hat-mini are ok
And example lcd.py works perfectly with automationhat
I hope will be for you the same
Great