What is your general approach to matching these very short radiators?
It’s really the ratio of radiation resistance to conductor resistance. You can shrink an antenna to infinitesimal size, made of perfect conductor, but as the radiation resistance decreases, it’s more difficult to impedance match. An infinitesimal antenna would have zero bandwidth. Sort of like Bode Fano criteria limiting bandwidth versus impedance.
There is a Chu theoretical limit which limits antenna efficiency and bandwidth given volume, hence 3D fractals and other stuff. Ain’t no free lunch. A lot of antenna research is who can get closest to the Chu limit. Sort of like coding and the Shannon capacity.
https://en.m.wikipedia.org/wiki/Chu–Harrington_limit
There is still a lot of snake-oil in antennas, some of it fractal related.
It’s an easy day when I have dimensions on the order of a wavelength. Usually it’s 1/10 or less, and shoved up against metal.