If you maintain a 12.6V or higher voltage in the battery, there will be very little stratification or sulfation. That happens when electrolyte is at work shifting ions between plates and, a tiny bit, from metal aging.
A better cure for your battery storage situation would be: Switching to an AGM battery, replacing the inadequate WFCO charger, or disconnecting the WFCO converter and using a good battery tender.
FWIW, I keep a couple of 12V auto batteries stored. I charge them manually with a small 12V power supply. Every so often, I will hit them with my shop charger as it stirs the electrolyte. I haven't checked SG in them for a couple of years as their longevity is not that much of an issue.