I've never heard it claimed before that there isn't a business case for not electrifying the Uckfield line.
It‘s been looked at several times (I might even have been involved for at least one of them…) and the socio-economic case is poor. Its a long line with a limited service of (mostly) short trains.
Also, are you categorically stating that a battery service is suitable for all lines?
No. I don‘t believe I’ve said that, nor that you could infer it from my posts on this thread.