eddie, i did my tuning on a 36ft pole in a field then raised it to 73ft, at this location i have tuned up at 2ft 12ft and 30+ft,
you would be surprised how a vector will tune with wildly differeing monople lengths, its not like tuning a groundplane,
you are correct about groundplanes needing a massive groundplane to realise the low takeoff angles if we are talking about ground mounted 1/4waves, the benefit of open sleeve is it can give low angles without the need for an extensive radial system extending many wavelengths from the antenna,
i don't have a definitive answer for the sigma style, im gleaning snippets of info from many sources none deal specifically with sigmas,
avanti acknowlege that the sigma radiates most of its signal in the upper 1/2wave which suggests there is some radiation from the lower tapered 1/4wave sleeve that contributes in a constructive way with radiation from the portion of monopole above the sleeve,
i would be surprised if changing the relative phase does not change radiation angle, ez-nec is clearly wrong when it reports a big drop in gain as you move from uniform diameter wire to tapered tubes,
problems with modelling is likely the reason cebik warned me about accurate models and as he put it, ( the pages of meaningless argument that style antenna can cause ),
if it was a simple as putting measurements in nec there would be little argument imho