That is interesting when the Xperia 10 III is turned-off and plugged in it remains turned-off or rather it boots into the charge only mode where the current battery status is shown. Only when the charger is removed the device boots to the UI. This is also annoying because the “Enter security code” screen never turns off. So unplugging the device also requires to interact with it.
On a side note, I remember Nintendo providing an update for the Switch which allows to configure exactly this behaviour ^^’ So when the Switch is unplugged it stays off if so configured.
I was really hoping that there is some setting, maybe via the mcetool, to configure this behaviour.