Auto-Bilge Question

So if I turn my Perko switch off and my Auto-Bilge Switch on. Will this keep my boat from sinking with out draining the battery.

All of the other threads that I've found say that the Auto- Bilge runs every 3 minutes for a "Scan" and then shuts off.

I have read that the Auto bilge should be hard wired with a breaker to the battery by-passing the switch all together. Not sure how it is exactly wired since I had it professionally installed a couple of years ago (the switch and dual batteries). But I understand the Auto- Bilge even though it has a float needs a power source to operate(A battery)

My auto-bilge doesn't automatically kick on as I have found out over filling the ballast. (my overflows are not connected and they drain into the boat. I suspect the original owner had additional ballast plumbed and never re-hooked up the overflows.)

I did stay up a bit on the houseboat wondering exactly how this works. (The Auto-Bilge)

Any help thanks!