I don't remember the temp staying on but the clock and odo are supposed to stay on. They aren't drawing enough to drain the battery. You have another drain somewhere else.
#1
i have a 2001 beetle 1.8t my battery has been draining every 3 days
i have notics that in my car the time and outside temputer are alway on
and on my odomator alway displays my milage even if car is off.
my draw on battery is 0.04 i have installed new alternators and battery
and car is still dieing evey 3 day if i dont drive it .
#2
I don't remember the temp staying on but the clock and odo are supposed to stay on. They aren't drawing enough to drain the battery. You have another drain somewhere else.