I suppose given that they both have the current maximum at the base of the radiating element then it has some validity.
All quarter wavelength antennas have their current node at the base of the antenna, including top loaded and continuously loaded antennas. So following your logic, Firestick's top loaded antennas also act like base loaded antennas. The current node being at the base of the antenna is a staple of the quarter wavelength antenna, shortened or otherwise.
And if they're having 18ft lengths of coax which is acting as "the missing half" then I guess because of the losses the SWR minimum could coincide with the resonant point of the antenna...
The pages on that tech site actually uses a different length for the other half of their no groundplane antennas. It is the only time that I saw them talk about using the outer shielding of the coax for the other half. This coax of theirs also has continuity, a small amount of resistance actually, between the center conductor and shielding with no antenna hooked up... Its right on their web site in those same tech articles...
Also, their theory of what happens at a half wavelength of coax isn't true... To quote Firestick directly...
Firestick said:
Because of the imperfect world, we almost always recommend 18' (5.5m) when our products are used. We do so with good reason too! At 18' the voltage curve has dropped back to the zero voltage point where the cable meets the antenna which reduces the reactance within the cable itself (a null cable if you would). It has been our experience that if the antenna location makes it somewhat out of sync with its surroundings, cable lengths that are not multiples of our 18' suggestion adds to the problem.
Here is a link to their specific page that has that quoted text.
First off, they are apparently referring to a forward wave as they are talking about the voltage as it is on the line where the line meets the antenna. If they were talking about a reflected wave they would be referring to where the voltage meets the radio. In either case this information is wrong, the forward and reflected voltages (if the reflected voltage exists) are always changing at all points of the coax, including the radio and antenna ends. The only apparent relatively stable voltage on the coax is caused by the standing wave, and the standing wave waveform is a function of both the forward and reflected waveforms.
Second off, they have no concept of a velocity factor. Every transmission line has a velocity factor. This velocity factor is the change in the speed at which the waveform travels through the coax or any medium. Until they take the velocity factor into account they will never have anything like a "correct" length. Therefore this fictional "null" they are referring to is not where they think it is, and will be at different places for coax with a different velocity factors.
Third, they also have a fundamentally flawed view of reactance. There is no reactance in the coax itself. The actual reactance in the system is in the antenna and the matching network if one exists. The coax can transform the feedpoint impedance mismatch including feedpoint reactance into any number of values, but in the coax itself it is not reactance but simply a reflected waveform that interacts with the forward wave to create the standing wave.
All that for one a quoted paragraph, and the quote is only about half as long as the full paragraph it came from. I provided a link to the page so you can see I'm taking what is being said in context for yourself if you wish...
The DB