I have managed to "unconfuse" myself 😊 regarding my last point about Lilygo's labelling of pins.
Somehow my brain made a connection between physical pin number on PCB and GPIO. It seemed incorrect that they were identical.
I see my mistake now.
But the other questions remain. I accidentally ordered the version without soldered pins, so it's a bit difficult for me to test if all GPIO's on PCB are available for us.