Ok, Donald so your idea is the only one that counts. If your idea about this antenna design were true, like you claim, it would be the hottest antenna on the market, but hardly anybody ever talks about their NV4K, and the idea would seem to scale nicely into other bands as well...and I have never heard of this design outside of 10-11 meters and your FM product of course.
You suggest that even Cebik would have considered this antenna to be a far superior design...but I find nothing in his body of work on the subject.
W8JI, has recently updated his article on "End-fed Vertical and J-Pole," and he demonstrates ideas using slanted up, slanted down, and horizontal radials on a J-Pole. He doesn't say much, but he did not make any claims to increased gain except where so noted and it wasn't much gain anyway. He also may have added this idea of slanted up radials to the J-Pole as a result of the eHam thread that Booty Monster posted and you mentioned above. If you recall he did comment in that thread at one point.
He did comment that this idea could be make coaxial by using a pipe in a similar configuration, but did not show an example and gave no further details.
He also says nothing about this radial idea creating a collinear effect that increases gain on the J-Pole.
Here is the link: http://www.w8ji.com/end-fed_vertical.htm
You are right about one thing using these Antenna Software design programs...if you don't get the antenna design right as to the physical design we know works, and consider the product limitations...no model will likely give good results. I noted about this in my remarks above...so you will possibly know why Eznec did not work for you in your efforts to model your S4 idea. I'll bet you did not consider any of those design ideas back then when you made Eznec models.
Ideas either become fact or fantasy once the time is taken to conduct tests that prove them to be reality or myth. It's not my idea that EZNEC has screwed up by one 1/4 wavelength of radiation phase in every model it spits out. Until the program can correctly display the radiation phase of the cone with respect to the vertical above it, It's not possible consider any results produced in EZNEC or opinions based on those results.
You'll never find anyplace where I suggested Cebik said anything more than the antenna functioned as a "non apparent collinear" because that's the only important comment he offered. Having 2dbd is hardly the "hottest antenna" either. It is however enough to make a nice improvement in the FM mode where the difference in signal required to quiet the receiver can be very small. I do my best not to exaggerate and ask you do the same when attempting to quote me.
Pretending that EZNEC just doesn't work for me or has something to do with my models is ridiculous. Can you add the 4 wire test to any of your models and make a collinear work at a 90 degree phase delay that represents the field tests? All I'm asking is that the damn model get close before you rely on it so much. Not within 10% or 20% either but being off 100% too long throws the "baby and the bathwater" for modeling this antenna with EZNEC right out the window.