At first I dismissed the idea.
At the same time, it seems like G5 conferences are sucking up every available FCS team. At some point, I think Furman and the SoCon need to be alert for protecting their future before another round of reorganizations leaves us with the leftovers of the Big South Conference.
I doubt Furman would do it, but Furman would bring (1) competitive football, (2) big enough stadium, (3) nationally relevant basketball, (4) a good market with ease of travel for most conference schools.
Furman makes as much sense to me as a lot of the schools on that list. They probably offer more than most, though they aren't a typical FBS school makeup (big public school).
I would have to think Furman needs to be exploring what the future holds, however. With all the conference realignment, the SoCon has largely stood pat over the last ten years. It's been a remarkable level of commitment between the member schools, but I suspect that it cannot last forever. These G5 conferences are too hungry.