A few people have already said it here, but maybe looking at it this way will make it more clear.
- All Teslas use energy while parked - to power the gateway, MCU when awake, to heat/cool battery (needed for battery longevity), and optionally to cool cabin (when cabin overheat protection is enabled) or pre-heat the car (started using the app).
- Keeping the car plugged in, does not increase the energy the car uses while parked.
- Regardless of when you put that energy into the battery, plug it in once a week, or keep it plugged in and let BMS top it off when needed, it will cost you the same.*
If you wanted to split hairs, you could even argue that keeping the car plugged actually saves you money, because whenever the car is charging the battery, or running the HVAC for cabin overheat protection or pre-heating, shore power is used directly to power the car, which is more efficient as it avoids the inefficiencies of charging and then pulling the energy out of the battery (it's more efficient to take energy directly from the plug, rather than put it in the battery and then pull it back out to use). Most of the time however, while parked the car just uses the battery, even when plugged in (it uses the 12V battery for gateway and MCU, then tops that off from the high voltage battery, then tops off the high voltage battery from shore power).
*fine print, this may not be true if you have different rate at different times, for that you should use scheduled charging.