Well, to go back to start...
Most output networks are simply a transformation - to take the low-impedance output and allow it's power to be transferred to the antenna output - whatever ohmic impedance you want it to be.
IN older tube sets, the voltage component output of the tube made it ideal for "ladder line" and other high-impedance output networks.
Transistor designs required it low-voltage - high current output to be transformed into a working component of equal voltage and current - so this made things more closer to 50 or 75 ohm impedance.
So in a way, we had to settle for 50 ohm to make the current munchers and the voltage zappers to work together - so they created this ohmic / impedance mess of 50 or 75 ohms with 50 ohm being more favorable for Low- end MHz range (kHz - Lo-VHF) while the losses in the 75 ohm being more favorable for VHF-Lo onto UHF.
IMO - it's seems that to the end user, the home brewer types that could use anything were left to themselves - but for the commercial endeavor, it had to be standardized, which took away all of our developer fun - so we got stuck with A99's and Siros' while others that could benefit from the voltage component better (READ: Home-made antennas) used
Gizmotchy - Inverted - V - Cane-pole and End-Fed favored that group.
So now, to make your own, Radio - that's a no-no, but antenna? Well, that now has to fit in the box of what that Radio we cannot make, to suit our needs. It - has to fit in / match in - so it then becomes our Carborundrum - we're stuck with the Radio and it's platform for impedance - not what we could use in making our amp to suit our needs.
- we'd have a much different back yard and/or farmers field
- containing - an antenna Farm that could be seen from Satellite...