Your are all forgetting an important factor. The larger the antenna for the
frequency of interest the greater the Radiation Resistance and  consequently
less losses in other compontents. A small antenna's Radiation Resistance is
surpassed by other losses in loading coils etc ie Rr 0.4 ohms, other losses
possibly 50 plus ohms, heating up the ground beneath the antenna. A case
where theory cannot be implemented in practice.
The big antenna is propogating the signal, the small antenna is burning the
grass underneath it and acting like a leaky dummy load.
G3KEV