The PW warranty is here:
https://www.tesla.com/sites/default/files/pdfs/powerwall/powerwall_2_ac_warranty_us_1-4.pdf
The two cases I pasted from the table for your convenience:
Case 1
Application: Solar self-consumption/backup only (storing solar energy generated by an onsite array, and using that stored solar energy (i) for daily self-consumption and/or (ii) for use as backup power.)
Energy Retention: 70% at 10 years following initial installation date
Operating Limitations: Unlimited cycles
Case 2
Application: Any other application or combination of applications
Energy Retention: 70% at 10 years following initial installation date
Operating Limitations: 37.8 MWh of aggregate throughput (measured at the battery AC output)
For grid to charge: I imagine Case 2 applies. I imagine charging the batteries for backup and trickle charging would be allowable under Case 1.
For the purposes of rate arbitrage using grid power. It will fall under Case 2.
I plan to recharge with only renewables (i.e. excess solar that would have resulted in credits), and do self consumption from sundown to 9pm. Right now the Tesla app does not look to be supporting this to my liking. On ordinary days when I am home a 50% backup setting makes logical sense, yet when I am not home the app would have PW charge the EV, which isn't advantageous. Hopefully Tesla comes up with an automated scheme / app update so one need not to fiddle with the backup % each day. I also plan to operate the PW only during the summer because during the winter the EV-A rate schedule pricing difference isn't as great from a rate arbitrate standpoint and not worth deploying the PW.