I had never heard of a dry bilge until coming to TF. Never thought it was a problem. Then I read that some people have bilges that stink. Not sure what that is all about (leaking blackwater tank or shower drain?). I get saltwater from the packing gland, maybe some fresh water from rain, a little saltwater from hauling anchor, I don't think any fresh water from my potable system.
I have been curious about how often my bilge might pump when I'm away, but not enough to put a counter on the electrical circuit. I pump the bilge using the manual override when starting up, then it might pump automatically later that week if I'm cruising for a week. I have an alarm on the automatic and if it went off twice a day I would know something isn't right.
The engine and transmission have a big pan under them, so I can see if a drop falls from the engine/tranny. I put diapers in the actual bilge to catch any other oils, which are never present (except the time my fuel tank sprung a pinhole).
Water in the bilge is a non-issue. Stink or gators has not been a problem.