DB, I didn't fully understand your idea back when the subject might have come up in conversations. Correct or not, at some point I recall thinking that you were just using very thin wire diameters to help mitigate any segment errors as your wire angles got closer together like they can in some models like the Sigma4 and the Starduster.
Quite by accident, I have done about the same thing in error once while I was making diameter adjustments to the radiator wire for my 1/4 wave model. I saw about the same results...but without adding an extra 1 segment wire. At the time I did not think this was a scheme however...I just thought I messed up and it fixed the model by chance.
I still didn't fully understand what was going on until yesterday when reading your comments. I just had a vague recollection of something strange happening to a model at some point in the past.
Yesterday, after I applied your scheme I had the thought...how did the results compare to the way I try and get a good AVG result for my models. I typically will fiddle with the segment count in a Free Space model. I watch the AVG results and make very small adjustments. This sometimes means I'm changing segment count with several wires and then it can be very tedious. Using your 1 segment wire idea is a much simpler and straight forward approach.
I have an antenna I make using 5 x 102" ss whips called the Marconi 5x. It is pretty much similar to your 1/4 wave model. I use my scheme on this one to get the AVG results to 1.00, and I don't have to adjust the wire diameter...I just make small changes to the segment count for the source wire (radiator) and it does about the same thing...while leaving the antenna dimensions as specified.
My idea came from a conservation with Roy Leawallen...when I asked him if there was a preferred scheme for setting the segments. He said NO!, but he cautioned me to try and make very small incremental adjustments to the segment count for the source wire in a Free Space model...and to always watch the AVG results carefully.
Again, thanks for the information.