I have had mixed results leaving the battery tender Jr (750ma version) on my travel trailer batteries. Some have required Distilled water refills mid way through the winter when the BT jr is left on the battery full time.
When considering putting the BT JRs on a couple batteries that were located an hour away, I consulted Deltran (BT mfgr). They advised not to leave the BT connected for long periods of time when you can't inspect it periodically. The engr's response was that "anything can happen to a battery while charging".
My point--if leaving the BT on full time, make sure and check on the battery periodically. For me its not worth the risk of a fire or battery exploding while my RV or boats are in storage.
When leaving my group 24/27 batteries for long periods (3-4 mo). I have had good results with the following;
-Top off w/distilled water
-charge them before storage
-disconnect them
-charge once or twice during the period for a few hours
-charge them when taking them out of storage