Sorry to rain on your parade but CT has seen fit to create this "loophole" in their favor.
CT does allow non-permitted homeowners and business owners to have firearms in their possession on their property....
.....however......
...in order to purchase one, you must have gone through the same training as any other applicant for a carry permit. Without that permit, you won't be able to purchase anything from anyone; privately or through any FFL. I've heard of the "elegibility certificate" but have never met anyone who has received one. It's just not practical.
This was not the case just a short time ago. It USED to be that a property/business owner could purchase a handgun from an FFL, fill out the paperwork and go through a background check. Once that was cleared in a couple of weeks, you would be contacted to come pick up your firearm. When you collected it, you had to go DIRECTLY to where the gun would live with no stops in between. Once there, the gun would live out its life never leaving the property unless someone with a permit had it in their posession.
Today that's all gone. So, while it remains legal for a non-permitted person to have a handgun in their home or business, there is no legitimate way for them to get the gun there in the firstplace without going through the paperwork and taking the class (unless you move here with it as part of your personal posessions, I guess). Sounds like a loophole in favor of the state to me!
And a homeowner/business owner can't purchase one from a citizen or receive one as a gift, either. Handguns must be done with the proper paperwork through an FFL, period.
Rome