Given that we'd be working towards net zero the graph below should show quite clearly why the removal of OHLE is unlikely:
View attachment 80479
Basically down to the fact that batteries require more energy (and therefore create more emissions) than "plugging in".
To give you an idea of how much of a difference this makes for every 10,000 passenger miles undertaken the emissions are:
Current rail 0.59 tonnes
EV charging off the grid 0.60 tonnes
Two key points with this; firstly even if a car is charged off solar on your roof, unless you generate enough for all your needs you'll still increase grid use.
Secondly; that's not current EMU, that current rail including a proportional for all the diesel trains which are running - and or still beets EV.
Also the mining of the materials for batteries is bad environmentally. Including poisoning of water courses, deforestation, etc. Before you consider often there's at the very least forced labour in bad conditions, chances are they's likely to be slavery involved (agreed estimates are that there's 27 million slaves worldwide currently, that's not that many less than the 32 million who voted in the 2019 general election, that's voted and not voted for any given party).
Feel free to carry on the discussion, however the above should highlight why such a suggestion is unlikely to actually see the light of day.