Most modern batteries would not seriously be damaged just by storing over the winter in your basement, as long as it didn't freeze, or was directly on concrete. As an automotive technician, I don't know why storing a battery on concrete discharges it, but it definitely does. I store mine on top of a piece of wood, and it's fine. Both my 8N Ford tractor and my lawn tractor batteries sit all winter in the shed, without charging or running the unit all winter, and are always just fine in the spring when starting up. My last tractor battery lasted for 10 years used and stored in this manner before it had to be replaced. If your battery is discharged, I would recommend recharging on "low" mode until fully charged, as opposed to a "fast" charge.
2003 Ford F-350 V-10 Crew Cab 4WD Long Bed
2004 Jayco Designer Medallion 29 RLTS 5th wheel
Bill, Gayle, and Mindi (dachshund)
Not retired yet, but counting the months ! (now down to 3 months ! )
Nothing is foolproof to a sufficiently talented fool.