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Barry, it will work. After all, any piece of wire is an aerial. The efficiency of the design though (without me going too deeply into the subject) I would think highly questionable. As best I can see the design shown does not have any means of 'peaking' any received signal, never mind a proper matching network.
In a way radio aerials are like telescopes. The more (properly designed and constructed) wire you have up there the better the results. This though means properly matched impedance between aerial and receiver/transmitter to achieve maximum benefit from whatever aerial is involved. Some aerials are directional - meaning they favour a particular area of the sky relative to themselves. This need not be directly 'in front' of the construct. Dipoles, for instance, tend to have lobes which extend to the 'side' while long wires tend to favour the end of the wires.
In your case, using 21MHz, this becomes rather awkward, particularly as you (ideally) need some sort of altitude control and a method of azimuth adjustment as well. Nevertheless, Jerry's tri-bander I would think would be better than the Jovian system as it, because of its design, has something like 3dBd gain (that's double the signal but about one half of an 'S' point on a calibrated meter) over a dipole and, to boot, is easier to orient. It also has the benefit of rejecting signals received from other directions.
Sorry for the waffle.
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