I leave my Guest 15A charger on nearly the entire summer but I live on the boat so the batteries are always in use.
I have noticed the starboard battery looses electrolyte during approx 1 months time. It can and has gone below the plates. The port battery never looses electrolyte. My guess is the starboard battery does all the house work and the port is designed for reserve/engine cranking.
The battery charger should assume the house loads and keep the batteries charged.
If you leave it on all the time I would keep a jug of distilled water, turkey baster and a hydrometer on hand and check the battery fluid every couple of weeks.
I also swap batteries from port to starboard each year to give them an equal use.
-Karl
1986, 32' Sedan, twin 360ci, 275hp Chrysler's w/ K&N flame arrestors