I know charge discharge cycling has improved, but I'm not sure it would be great for longevity if you did it every day. At 50% discharge you get 1300 cycles and lose 20% capacity. That's unde 4 years. I wouldn't want to lose my max capacity for a bit of a reduced bill.
https://www.recurrentauto.com/research/one-simple-trick
Also, level 2 chargers are more efficient, so it will always cost you more to charge with level 1, particularly without a heated charging location in the winter.