That is the expected behavior for this device. When you turn the power off, the clock is also turned off and so the device can no longer keep time. (Apparently, the V5 does not have a separately-powered "real time clock" as many computers do.)
The alternative is that you will not power down, just lock the keyboard. This puts the device into a low-power state that nonetheless continues to run the clock chip. In key-lock state the power usage really is very very tiny, so this is a good option.
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