Sati: There is no "off" switch for this thing. sutta references?

That reminds of what the word satipatthana , sati + upatthana means:
4sp = 4 sati-(u)patthana, i.e. 4 remembrance establishings. “Establishing” means the sati switch should always be flipped in the “on” position, never in the off posiiton. The word satipatthana appears in countless places, and sammā-sati, “right-remembering”, is often defined as 4sp.

and here is another great sutta I just remembered:
AN 7.67 sati is the wise gate keeper. If he lets in the bad guys, danger and death!