Completely dead battery?
Certainly a bad news day, for sure, with many aircraft.
Turbine powered:
Many have nickel-cadmium batteries, and these would absolutely need to be removed for proper deep cycling.
If by chance your turbine aircraft has a lead-acid type, this also would need to be removed, and properly charged to full capacity.
Less critical than the ni-cad type.
Piston powered.
Most of these have lead-acid ships batteries, and altho it might in this case be able to connect ground power to start, it would be exceedingly unwise.
Many piston types have limited ability to regulate the charging amperage, and battery overheating (possible boil-over) is a distinct possibility.
IF you have ever had a problem with overheating/thermal runaway with a ni-cad battery, you would surely wish you had called in sick for the flight.
Absolute nasty business, bar none.
