I can confirm that the small CR2032 battery, if completely discharged, prevents the main unit from turning on.
Not having the schematic I cannot give an explanation for this anomaly.
Wouldn't an error message have been better?
However, replacing the battery restores regular operation of the instrument without further intervention, all that is needed is a RAM clear via software.
Of course you have to be careful not to create new faults like what happened to me
