Well that was never my intention. I have been using AGM batteries in aircraft (racing sailplanes) for over 30 years. They were always removed from the charger when fully charged.
I don't actually know why a "keep alive" is needed on the GTX GPS. My data logs show the GDU GPS acquires faster than the GTX and the GDU requires no GPS "keep alive". The approximately 50 micro amp should not be a concern for a week or two but I'd want it disconnected if storage was going to be several months.
Just a teaser - Can you find "SBS-J16" in any documentation produced by Odyssey Batteries?