Here is an example from the day before yesterday:
From 11:00 I am above 70%. At lunchtime I put all the variable consumers I have: hot water, dishwasher, washing machine (see the green hill of the upper curve). It’s just not that much. I run 70% softly – everything over 70% plus self-consumption I have to throttle. The orange part at lunchtime is then the battery charging to at least partly mitigate this throttling. It doesn’t work perfectly either, because from 14:30-15:00 the battery is also full... now it is throttled :( Daily consumption 10.49 kWh, of which direct consumption (i.e. the value that could have been used without storage) 6.21. Grid consumption was 0.12 kWh. Without storage it would have been 10.49 - 6.21 = 4.28, and without storage I would have had to throttle about 5 kWh more at midday.
Of course, this is not generally valid. I am even rather critical of storage, as I find it pointless to store at the single-family house level (if at all, then larger storage e.g. at the next transformer station or similar), and these things are anything but environmentally friendly. In the end, however, I am currently satisfied.
The real decision, however, was... surprise... the funding: only the battery separated me from the "+" at KfW40 (= 6K€ funding), plus 2K€ state funding, and through the simultaneous purchase of the photovoltaic system you get the VAT refunded. The 10 kWh including battery inverter cost 6.5K€. That made the decision pretty easy.