Mi new one apparently ran out of power today. Guess what, no boot up.

The fridge trick finally got it to power up. Battery was very low. It's recharging now (while turned on).

Will it just get so dead that the battery-charging screen / blue light won't turn on? It spent the day with the screen & keys locked and so it should have gone to standby. Are there any standby settings I can play with to save power?