Some may do. From Newton's manual (https://www.cressi.com/easyUp/file/instructions/IB_Newton_EN.pdf) very bottom of page 5:They don't "completely turn off." The DISPLAY turns off to save power.
"SHUTDOWN OF THE DEVICE: In order to reduce the consumption of the battery when the device is not in use, Newton can be switched off by pressing the LIGHT button for 5 seconds. The shutdown will cause the loss of the TIME and DATE, and will be possible only after the no-fly time."
Loosing TIME and DATE sounds like a complete shutdown.