I believe Greenenvy was asking about the added strain on the battery/charging system during the
next startup if these are left on for the ignition off shut down, and not that they would keep running and drawing current after the shut down itself, but I could be wrong about that.
Greenenvy??
I personally turn everything off, the rationale being,
why chance/bother straining/weakening an even new and strong (AGM which I have or not) battery on start up by leaving this stuff on?