Whatever tool Henry used for the model above does not show a phase shift for the antenna, either.
It appears that the program views the current in a manner similar to the spiral model he produced before, and the tabular data is showing everything in the same phase except for the junction between the GP wires and the vertical.
So, once again, apparently Eznec defines the behavior of current along the vertical as typical of the antenna, but not as a phase reversal for an antenna longer than a 1/2 wave with GP radials.
And if it isn't a inverse phase, what is it?
Maybe it requires a cone or sleeve/cage along the lower vertical to cause Eznec (and other) programs to define the current behavior as a phase shift.
And maybe that's part of the reason why modeling Programs see the currents on the outside of the V4k/S4 as in phase.
I see the program accepting the idea of inverse phase occurring between the GP radials and the Vertical the same as with the two ends/sides of a dipole, but not on the same side of the poles at the same time. Maybe a model of the I10k with the GP radials also 5/8 wavelength might show the same behavior on each side/half of the antenna as it shows on only the vertical half of the antenna. . .
And maybe what we see in an extended vertical is something similar to a null (or series of nulls) on a very long wire antennas and not a phase shift at all . . .
Thinking again and possibly sounding a little daft.