I own both. I have a 2011 Homer I bought from Rivendell and a first generation Roadini I bought second-hand from Analog Cycles (one of their demos.) There is very little difference in mine similarly equipped. The Homer has the older, straight top tube (it too was a Waterford frame,) and as mentioned before, greater tire clearance. Without fenders, I am running 44mm Ultradynamicos with excellent clearance. I have 38mm Gravel Kings on the Roadini and it is maxed out. If I had to choose one bike, it would be the Homer. Even 14 years old, it is the best riding bike I've ever had and I've been riding since the late 1950's... I would be perfectly happy and satisfied with the Homer. To me, it has a certain ride quality that my Roadini lacks. But that's not to say that the Roadini is inferior, just (for me) a little less plush in the ride.
I do like the slight drop in the top tube on my Roadini. The Seat Stays attachment is a very interesting design that I see is currently carried over into the Hillborne, the newer Homer, the Roaduno, the Appaloosa (and I'm guessing the Atlantis as well.) The current photos of the Roadeo show the same type of attachments of the seat stays as my old Homer.
I don't really want to part with either... But if I had to choose one, it would be my Homer.
Mel Hughes
Sparta, TN