Someone at the utility went through the same math you are and decided it isn't worth it at scale. It's probably not worth it at small scale.
Back of the envelope I did one time told me i could earn more by picking up cans off the street and trading them for the deposit.
Still, it would feel nice - after the initial cost- to have very cheap power (only charge when cheap).
The UK is world leading in battery rollout because someone did the sums and decided it did make sense at scale.
There is no such thing as "the utility" in Europe. It is legally not allowed for a single company to both operate (parts of) the grid and trade in electricity.