If I understood correctly, what Stephen was suggesting was what you describe as the 'Winter situation' - import electricity during the 3 Flux hours, store it in batteries and then export from batteries during the 3Peak hours.
That would mean that one would need batteries man enough to both sustain ones energy requirements AND to export the stored ('Flux rate') electricity. Those peak hours are peak hours for good reason. For someone who (either necessarily or by preference) has a high demand during the Peak hours, then I presume for that to work would require pretty large (expensive) batteries, wouldn't it?
As you suggest, the situation during Summer is much more favourable to such an approach - but, over a whole year, that would obviously roughly halve the potential benefit.
Kind Regards, John