In a garage, I would forget the converter and just connect a small “good quality” battery maintainer like a Battery Tender or similar. I have left them connected for years on my vintage vehicle batteries and never damaged a battery. They will keep the battery(s) charged without overcharging and boiling the water out. If there is a battery disconnect switch, open it. If there is no such switch, pull the fuses for things like propane detectors and radio. I find that a lot easier and safer than disconnecting battery cables. There is no sense powering a large converter to maintain a battery charge in storage. I cannot wait to read converters don’t use much power unless they are outputting a lot of power.
As batteries age, they will self-discharge faster. And unless the sulfate that forms on the lead plates from storage is broken down through an equalization charge of some sort or other means, the battery will lose capacity even faster than keeping it on a safe maintenance charge.