Do you have gas as well?
You'd need to try and maximise your usage of electricity as it comes in so dishwasher on, washing etc in the middle of day. Easier if you WFH some days.
If you are a tumble dryer user then it will be useful. The trouble is the best days for this are the ones you don't need it because you can peg out (but aware not everyone does).
You need to go with Octopus to get 15p a kWh for your export.
On a 5kw system in north Scotland I've exported more than £1 today and that's with an all electric system. It was a great day.
You also have to get used to using within the capacity of your inverter. So better to boil the kettle then turn on the dishwasher rather than doing them simultaneously.
Without a battery you are still going to be paying to run your oven in the evening (assuming electric) as generation won't be strong enough by then.
It also won't be enough for say a 10kwh electric shower which is the biggest expense in our house.
If you have gas then the benefits of a battery are not as great as an all electric system.
I'd expect you to pay virtually nothing for your electric in the summer but it won't be the same every day. Sometimes you might export 20kwh, other days take from the grid. You'll save fairly small amounts October to Feb but it should allow you to have a fairly low direct debit.
If you don't have gas it's nuts they've installed without batteries.