As an example, a freight locomotive covering the Mendips to Brighton or somewhere with a Jumbo stone train would need a substantially increased number of batteries to do it without third rail.
The cost of 750v capability on a 25kV locomotive is going to be pretty small with modern technology. Especially if it's a battery electric locomotive.
These mileages on third rail network, WTT pathed freights:
3rd rail mileage = 23 each way. 1800t gross.
6002 Merehead to Woking Yard.
6V22 Woking Yard to Merehead (return empties).
Note: Service runs only "as required"
3rd rail mileage = 27 each way. 1400t gross.
6052 Westbury to Chichester.
6V09 Chichester to Merehead (return empties).
Note: Service has only run 3 times since 1-Dec-2024
3rd rail mileage = 31 each way. 1600t gross.
4O08 Trafford Park to Southampton
.
4O52 Masborough to Southampton
.
Note: these paths and the other intermodal paths using this 3rd rail route, run as required
3rd rail mileage = 51 each way. 2000t gross.
6068 Westbury to Crawley.
6V68 Crawley to Merehead (return empties).
Note: Service runs as required, typically 2 to 3 pwk
3rd rail mileage = 54 each way. 1800t gross.
6040 Westbury to Ardingly (near Haywards Heath).
6V57 Ardingly to Whatley (return empties).
Note: Service has only run 2 times since 1-Dec-2024
Hoo to Eastleigh and Mountfield to Eastleigh paths, currently operated by GBRf 69s or 66s are, I agree, entirely over 3rd rail network (apart from certain sidings in the yards).
But the investment and operating case for a discrete fleet of 750v DC capable locomotives, for
these mileages?