It won't deteriorate them if regulated to "Float" charge at the float-voltage safe for your battery's particular chemistry. If a charger Mfgr's approach to regulation is frequent connection/disconnection, that's just one method, albeit archaic, to insuring that a safe voltage is not exceeded. I've continually float-charged expensive 400 AH Trojan batteries in my motorhome, 24/7 for 10 years. I also keep my boat's dual batteries on a tender 12 months out of the year. I would recommend though, that once you are positive the battery is fully charged and the voltage is no longer climbing, determine that the charger's regulator is holding at a safe level for your chemistry. This may be 13.8 volts, or something different. I don't have them all commited to memory. Just check the battery voltage with a digital meter with the charger connected after a long charge. Also, since barely any current will be flowing through the batteries to maintain float-charge, there will be extremely little bubbling if any, in the case of a wet-cell. Therefore I would adjust the water level before and after you put her to sleep for months. Chances are they will only need a squirt.
Jim