There are no AGM specific chargers or minders. As long as Absorb and Float voltages are what your battery manual requires.
If this
https://www.batterystuff.com/files/plus_models.pdf is your charger, I don't see conditioning in the manual. Blinking green light means Float, nothing else. There shouldn't be a daily 15V conditioning stage anyway. Only Concorde battery manuals mention it, and it is not a routine stage, but something you manually from time to time. Mex here considers conditioning aka equalizing necessary with any AGM, so he is probably right.
The difference btw this minder and other float chargers might be that others have only Float stage and no Absorb voltage 14.4. Or only 14.4V and then they shut down. Hard to tell without knowing what "other float chargers".
12117 minder goes daily to 14.4 and then switches to 13.4, this is what one (usually) wants in storage, IF your battery needs preciesely 14.4 and 13.4 (and not 14.6 and 13.3, for example). And if it's 77F. Doesn't look like this 12117 has adjustable setpoints or a temperature compensation, so this is what you have.
