will dc converter discharge battary?
The mini 360 uses a MP2307 (as far as I can tell, some of them use a different converter). 

It looks like the chip is always enabled and not in sleep mode, so the converter itself is always drawing a few mA. This will draw down the battery even when there is no load.



It would be wise to put the switch on the battery side so no current is wasted and the mini 360 is fully off.