I doubt BEMU’s are going to be big in the former Southern Region as most of these railways are already electrified so your going to have to waste money by not filling the gap as this means having a small fleet of BEMU’s for 1 single line.
What do you think is more complex and expensive to instsll and maintain:
1) hundreds of kilometres of additonal third rail, cabling, distribution equipment, substations, grid connections, negative bonding, aditional signalling equipment protection, etc., or,
2) a few dozen batteries on trains.
When considering your answer, think about how much the specific costs are for maintaining the battery in any electric car.