Where do you get “this provides 3000 cycles” from?
The 9.5 battery has an unlimited cycle warranty for 10/12 years depending on when you bought it. If you say 1 full charge/discharge cycle a day over a 10 year lifecycle then that is roughly 3000 cycles, and recouping the battery cost from savings over that period then yes, you need to achieve £2 saving or income per cycle.
It depends on how big your solar panels are, how much you consume during the day, but assuming you have excess solar in the day the first thing I would suggest you do is ditch Outgoing Agile and move to the 12 month Fixed Agile that pays 15p/kWh. Unless you only export during the evening peak when the outgoing agile rates are better, for most people the 15p fixed rate is better.
Whether you should keep the energy or export it all depends on what the cost of import and your consumption is.
On the 15p fixed rate, after conversion losses you’ll get about 13.5p for every kWh you export. So export what you don’t need and keep the rest in the battery for later on. Every kWh you use out of the battery saves you importing it at whatever the rate is when you use it out of the battery. The same equation and losses applies on import if you’re storing it in the battery. If your import cost is less than about 12p its cheaper to import and store it in the battery for later than let your battery fill up with solar energy.
It is complicated (and requires automation) to get the absolutely best results out of the battery, but you can get fair results by just leaving the battery on Eco mode.
Every time you store energy in your battery and use it later on is savings that you can count towards your £2 saving target a day.
Certainly I wouldn’t advocate “saving the battery”, its an expensive item that you have bought and had installed, you want to maximise your investment return from it.
If I look at my own data for yesterday for example, I imported 17kWh, generated 36kWh, exported 34kWh, consumed 18kWh in the house and charged and discharged my single 5.2kWh battery 3 times (which does surprise me).
My total consumption bill (excluding standing charge) was -£4.84.
If I could have fitted all my consumption into the day-time hours (which clearly you can’t) and didn’t use the battery, had still used the same 18kWh in the home and exported the excess 18kWh and not imported anything, my export income would have been 18*15= -£2.70 - so with active battery management I generated £2 more income.