You can usually save more by generating solar locally and using it to power the home and charge the battery, then discharging the battery during peak hours (usually around and just after sunset) to earn the most. Obviously higher upfront capex.
Pure grid cycling is also frowned on by some utilities.
Octopus in the UK has tariffs where it basically takes over your system (ie the batteries in particular) and subsumes them into its wider activities, eg:
DamonHD|1 month ago
https://octopus.energy/intelligent-flux-faqs/