I have not received a response from Sirio as yet. I don't recall when I sent it, but I'm still waiting. I've sent Sirio maybe 3-4 messages via their contact service, and I have only received 1 response todate. I think there are some questions that they don't answer due to company policy. I'm pretty sure you guys are right on this subject however, and the dbi values are in free space. My issue with Eznec on this point is...
I can not get the models for my CB vertical antennas to show over 2.57dbi at 0* degrees in free space unless I set the model over perfect and infinite ground.
Regarding your 4 wire idea to be mounted collinear above a S4, Donald I did that back on 09/20/13 and posted it in the link below.
Here is the link to my post #26 on the 20th: http://www.worldwidedx.com/cb-antennas/159435-ghz24-what-your-opinion-sigma-4-a-4.html#post443546
Below is the model I posted earlier. This time I added the version over Real Earth, so you can see there is some collinear effects going on. The models below shows you what I wanted to try and explain before, when I asked for your model. The post on 09/20/13 did not have currents turned on, and I did not realize that at the time. I wanted to call that to your attention, so I asked if we could resume the topic, and here we are I hope.
You will notice here that I turned the currents on and off for the model.
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Does this look like what you saw with your collinear S4, with a 1/2 wave radiator above it using the four wires?
Is this what you were talking about when you told us the Eznec collinear model failed?
