I think we should forget about any lines with just an hourly service (or worse!), whilst we still have so many lines with four or more diesel trains per hour
Focus on doing big stations and the immediate urban areas. Yes, it’ll cost a lot per mile (given the disruption to existing services, the complicated point work etc) compared to single track/ rural lines, but reliable bi-more trains on short/middle distance services would be a game changer , massively improving the environment at major stations and the level of air pollution in areas where people will most notice it
Also, focus on the first few miles of current unelectrified lines out of electrified stations, e.g. Leeds to Woodlesford/ Headingley or Horsforth
plus bi-mode stock would remove diesel fumes from Leeds station and hopefully speed up the acceleration of trains at that bottleneck, without the need to wire the entire routes beyond
I think Bristol area is a very strong case, especially with most local trains already 31-35 years old.
From Filton / Parkway to Bristol
Back to Chippenham (via Bath)
Then Bathampton to Frome
Westbury - Salisbury - Redbridge. (Allows Cardiff-Portsmouth to be electric throughout)
Would then add lines to Weston Super Mare, Yate, possibly Avonmouth, Portishead, and Yate onwards towards Gloucester
Unless we embrace bi-modes properly, you’d have to ensure that you didn’t left any awkward gaps or “diesel islands“ - so if you were focused in that region then I’d want to see rites like the full “Salisbury Six” included (despite bits only getting an hourly service)…
…But that’s the problem. You have to consider the merits of filling in various minor gaps/ infrequent routes because otherwise you’re leaving some awkward “diesel islands” that may require a diesel microfleet (again, unless we embrace bi-modes)
The section through Bath sees 4 or 5 trains each way many hours, sometimes 7 an hour including freight. If the economics of that don't work then there Is big economic problem
That seems a great place to start IMHO
1 - taking the OP’s question literally - is any unelectrified line currently “profitable” by any reasonable measure?
Impossible for someone like me to “know” (given lack of access to data) but “profitable” routes tend to require at least five/six carriages per service (if XC’s busy Voyagers still needed subsidising), the few franchises that were “profitable” (If you ignore the subsidies to Network Rail) were those that had a longer average train length
Whilst there are some unelectrified bits of line with several services per hour (Sheffield to Meadowhall!), these generally have relatively short trains making up a good chunk of services, so may not be profitable under any definition