The old station by LCY can't be opened again as it is on a bend and that is not allowed anymore, otherwise I think it would have been a nice and cheap option.
The "old station" was not at LCY, it was several dark and dismal side streets away and a more offputting approach was difficult to imagine. You (very) occasionally used to see apparent European mainlanders, with bags in hand, wandering around, looking lost and concerned.