This must be what’s happening for us too. They always turn themselves on, and it is usually when my son has the remote. I just tested it and 3 taps turns them on and off. Surprisingly, the taps don’t even have to be all the quickly to activate it.3 taps on the touch-section of the remote will turn them On or Off.
My kids love to tap the touch "screen" area and constantly turn them on...then see them and suddenly stop the tapping but don't realize a simple 3-tap gets them off.