Engine anti-ice would be left open in case of total loss of electrical network. This is not the case in BAT 1(2) Fault.
Suprisingly if you switch OFF the batterie(s) manually , battery contactors are disconnected , and nothing happen in terms of fuel consumption, FCOM says :
"Battery is abnormally selected off.
Crew awareness.
STATUS APU BAT START NOT AVAIL"
But in case of deficiencies in the battery , BCL still disconnect the batteries contactors , but in that case:
Elec: BAT1(2) fault
Battery contactor is opened automatically by battery charge limiter.
Crew awareness. FUEL CONSUMPT INCRSD FMS PRED UNRELIABLE
STATUS APU BAT START NOT AVAIL FUEL CONSUMPT INCRSD See (1)
FMS PRED UNRELIABLE