Various cable layouts.

Unlike the DL7PE microvert, where a radiating part of its feeder is clearly defined by means of balun, each EH antenna has its own cable layout. However there are some recommended tricks described in Ted's "RF on coax" article. First, look at two classic examples, namely a grounded 1/4 wavelength monopole and a non grounded one:

One may expect as low as 30 ohms for the Low Zcm case and as high as some thousand ohms for the High Zcm one. The first figure (32 ohms) presents in Ted's "Instructions for building an L Tee Network Dipole" as a radiation resistance. The second figure (2368 ohms) is used by Lloyd Butler in his theory. Both figures are right, each for its case. In a practical installation where there is no true ground connection, almost any impedance can be observed. However a high-Q circuits formed by a top half of the EH dipole and a coil usually has a high characteristic resistance (Rho=SQRT(L/C)). As a result, only a relatively small frequency detuning (where VSWR=1) is measured when an antenna connected to its feeder.
Some more feeder layouts are summarized on the next picture.

It seems like the main reason of lack of repeatibility and the main unknown in EH antennas is their common mode feeder impedance.