Yes. I have 3 Powerwalls and usually they are still between 70% and 90% once my off-peak period would officially begin at 9 pm. When I first got TBC, I noticed that when using my power company's TOU schedule, the Powerwalls would shut off promptly at 9 pm, when my off-peak period begins. Since I actually
want my Powerwalls to power my house into the night, I had to extend my part-peak to actually extend until 4 am. That way, my Powerwalls power the house from about noon until 4 am the next morning. As others have requested, I would prefer to have a "scheduled self-powered" option but it doesn't exist yet so I use TBC Balanced and power the house for about 20 hours a day. The cars are charged starting between 4 am and 7 am and then the sun comes up and solar takes over (around 8 am currently) and powers the house and recharges the Powerwalls.
I'm surprised you're seeing it drain them in the TBC Cost-Saving's mode since
the description here says:
Since it mentions "when electricity is expensive", I wouldn't expect it to run during off-peak.
Whereas the description for Time-Based Control Balanced specifically mentions:
It would definitely be nice if we had more control over our Powerwalls when using the Tesla app. It would be nice if we could enter our actual peak, part-peak and off-peak rates so it can better determine cost savings. In your case, with free nights, it should see that it should never be discharging when electricity is free.