The main thing is that unplugging allows the static charge on the panels to dissipate. The lower the charge, the less dust and other particles will deposit on the panels/mylar. Eventually, if left unplugged long enough, the charge on the panel will be gone.
When the panel is charged, the negative charge attracts dust and dirt. The air in your home must have a lot of dust and suspended particles, so getting the charge off the panels will help you.
The charged panels are a bit like how electrostatic air cleaners work, minus the fan.