Almot, please forgive this foolish question, but why disconnect it? Why not leave the battery on the pulse charge? (This assumes that the pulse function is not harmful to an AGM.)
I'm still hoping that someone really knowledgeable can chime in and tell us authoritatively if the anti-sulphate pulse is nonsense, worse than nonsense, or sense, for both AGMs and wet cells.
(Boy, I really hate this feeling of being ignorant. I am used to being an expert in my narrow field, and it makes me so uncomfortable to be fumbling around in the dark.)
