And the ECP is not supplied by the EMER GEN. It is fed from the DC BAT BUS. Only when you push the APU MASTER, the BATs will feed the DC BAT BUS (for 3 min) to permit APU starting. The DC BAT BUS is never supplied by the EMER GEN, and therefore the BATs will not be charged.
so: Is there any reason for not starting the APU after an emergency electrical configuration?