From the service manual - electrical precaution regarding 12V battery says this and more:
CAUTION
The HV battery in Model 3 will support a damaged/over discharged 12V battery whether or not the vehicle is being driven. However, upon detection of 12V battery degradation, the vehicle provides alerts indicating that the 12V battery needs replacement. If these alerts are ignored for a considerable period of time, the HV battery can become discharged to the point of no longer supporting the 12V battery (and the vehicle will have to be jump-started), or the 12V battery may become overheated due to nearly continuous charging.
CAUTION
Over discharging a 12V battery can cause permanent damage to the battery and increase the likelihood of overheating during charging. If a vehicle has an over discharged or "dead" 12V battery, always replace the 12V battery. Even if an over discharged battery is charged again successfully, the damage incurred is likely to cause future reliability problems.
CAUTION
Prevent unnecessary 12V battery replacement. If a vehicle is unable to support the 12V battery, or has a low HV State of Charge and is unable to be recharged, disconnect 12V power (refer to Service Manual procedure 17010200). Keeping the 12V battery connected might result in damaging the 12V battery through over -discharge.