And with the way a battery IPEMU would operate on the North Downs line, it benefits from longer continuous operation on third rail, with Wokingham-Reading-Wokingham and Reigate-Gatwick-Reigate on each round trip.
Not forgetting it can be charging at full power draw whilst it is stationary at Reading or Gatwick/Redhill.
And there's another thing in its favour. For third rail systems now you need security of supply in a 'first emergency feeding' scenario, ie if any one substation trips out, the immediately adjacent substations can pick up the load without any restriction on power draw. In practice this means a HV feeder cable parallel to the line, with a substation or switching station (Track Parallelling Hut) at the end of the electrification to feed that 'end' if the next substation along goes off line. This is all the expensive stuff in a DC electrification. The con rail itself is relatively cheap.
With an IPEMU, that security of supply is not so critical, as the train can get itself across a gap. So the conductor rail can be extended a short distance from the existing end of the electrification (perhaps a mile or so) without the need for the expensive parallel HV route or another substation / TP Hut. Thus making the non-electrified gap a couple of miles shorter.
Under normal operation, the IPEMU sees the extended con rail as a normal con rail, and draws power accordingly. If the last substation goes off line for any reason, then the last mile is dead, and the IPEMU has to get the extra mile on battery.
Similarly, a short electric 'island' could be provided with only one substation and no back up, to cover a couple of miles if the total distance off the juice was at the limit of the battery. The best example of this would be Uckfield to Buxted.
All perfectly doable. And much cheaper than full electrification. Not, however, cheaper than diesel trains when oil is $45 a barrel.