The fly in the ointment here is that the intuitive best place to recharge and power a train (braking, stopped and accelerating from stations) is typically the worst place to be inflicting multi-MW loads (or negative loads) on power networks. The 11 or 33 kV networks typically found in town probably aren't up to the job of multiple BMUs recharging, especially if they're being crushed by the demands of EV charging, as is forecast to happen sometime next decade.
Of course this isn't insoluble, I'm simply saying that it's not as simple as hooking 250 m of OHLE in a station onto the grid and away you go,
It may makes the case for longer stretches of wiring - e.g. for MML you might stick the supply point at Ratcliffe-on-Soar and wire to Leicester, Derby and Nottingham, and suddenly a BMU hybrid only has to cover about 20 km from Market Harborough to Leicester and 40(-ish?) km from Derby to Clay Cross and suddenly the whole MML core is electric. This is why the "energy density of batteries vs diesel" has always been an apples-to-oranges comparison. A DMU has to cover 500-1000 miles between refills, for a BMU it might be more like 50-100.