That is, let's hypothesize a house uses 24 kWh per day, roughly the magnitude in California, 365 days/year (AC in summer, heating in winter). Power is from solar and wind.
If you look at "duck curve" demand, you need a bit extra in the afternoon / early evening when there is higher A/C demand -- you can scavenge a bit more power in the morning (say 5 AM to noon) and discharge it in the afternoon (when the solar flux is high BTW), then do the same trick tomorrow. Call it 5 kWh. That's all the storage you need: a relatively small amount for a few hours.
Could you hold that 5 kWh for four months? Maybe. Maybe you need to store 7 kWh to get 5 out four months later. Only it's not just 5 kWh for four months: that's 120 days of needing your storage, to produce 600 kWh...on a battery you then don't use much until next season.
And that's just for one house. I don't see how seasonal long term storage works, except in a few weird corner cases. Maybe you store it as something else than protons, like methanol. But if you can build a better grid I suspect it's still better to export power from the Mojave to Bangor and the Mahgreb to Helsinki.
I am glad someone is thinking about this though!