I am sure that all my electricity after the 4 hour period should be F.O.C.
There's lots of ways to save (or even make) money on your electricity bill when you have solar panels and batteries, but I don't know that any of them can guarantee you "free of charge" power, albeit it's possible to come close.
Assuming a "self-use" mode of operation is selected:
First of all, during the day your system will generate power which can be used in your home (including to charge an EV for example).
If you're generating more power from your panels that you're using at that moment, the system will divert the excess into your batteries. You have a pretty large array so it's possible you could see more power generated than the batteries can accept. Either way, any power not used on-site or sent to the battery is exported to the grid, and if you're signed up to a suitable tariff you'll get paid a certain amount for each unit.
Once the sun goes down or if there is not enough generation from your panels, the system will draw from your batteries to power your home. Only if there is insufficient solar generation and battery power available will you be pulling from the grid.
In addition to all this, your Fox has settings to tell it to charge your home battery at certain times of day. In your case you'd do that during the off-peak four hours, so that it can power your home during the peak rate times.
During the summer you're likely to have more than enough power during the day, and you probably won't need to charge from the grid overnight. If you're at home during the day you can probably use the Zappi charger to divert quite a lot of energy to your EV.
During the winter, especially if it's cloudy, you'll be charging your house battery from the grid overnight, as well as charging your EV and running any appliances that can run on a timer during that off-peak period.
Depending on how much electricity you use at different times of day, different times of year, what you cook with, and how you heat your home, etc.
Bear in mind that your four HV2600s have a nominal capacity of about 10kWh, but probably 8-9kWh usable, which may or may not be enough to get through a day. If there isn't much / any sun and your battery has run out then you'll be drawing from the grid at peak rate.
Also bear in mind that your inverter can only convert battery and solar power into AC or "mains" power at 5kW. If you tried to charge your EV using "Fast" mode on the Zappi (7kW) or maybe if you had an electric shower (10kW?) then even with a fully charged battery and in bright sunshine, you're still going to be pulling power from the grid.
Hopefully this clarifies a bit about how your system can save you money. Essentially you want maximise the use of the generation you get from your panels, and ensure that if you're charging from the grid you're not preventing the storage of "free" PV electricity.