It doesn't make much sense to me either, or rather, the details are not specified adequately. What is specified in the document you linked is:
The near quarterwave monopole, fed as one half of an opposed pair of antennas
has an input impedance of the order of $80 \pm45^{\circ}$. It is therefore possible
to match the impedance to either 50 or 100 ohms depending on system requirements.
Usually a plot of impedance vs length of the antennas in the proper
structure is made and a convenient value of length selected to facilitate matching.
The matching components (all reactive) are installed in a small chamber
in the base of each antenna. This permits the rest of the feed system to operate
in a low loss balanced condition.
The only “opposed pairs” in this system are the pairs of antennas 180° out of phase, such as the pair of #1 and #3.
Since #3 is (called) a monopole, at the end of a 50 Ω feed line, it must be fed in the manner of a ground-plane antenna, with the spacecraft's outer shell connected as the ground plane.
Then since there is a 50 Ω line to the left and a 50 Ω line to the right of #1, we must conclude that the thing called a matching network in fact incorporates a power divider to split (or combine) the signal between #1 and the line to #3.
I don't find this very plausible, but it's the best interpretation I find so far of what's written there.