In the POH Supplement 20 (Standby Electrical System), Section 4 Normal Procedures, ENGINE SHUTDOWN (page S20-7) it says:

"The standby alternator receives field current from the keep alive 2
circuit so in an emergency condition, the standby alternator can be
brought on line without turning on the batteryswlich. Normal
engine shutdown procedures call for turning the standby power
switch off prior to shutting the engine down and turning the battery
switch off. If the standby power switch is inadvertently left on,
several of the red lights in the annunciator panel will remain
illuminated after the battery switch is turned off. The illuminated
annunciators , serve as a reminder to turn off the standby power
switch and thereby preclude draining the airplane's battery."

In the sim I don't see this. With the engine shut down and the standby power switch left ON, turning the battery switch OFF extinguishes all annunciators, so no red lights remain.