I was about to make the same argument, until I re-realized that LNAs I made for some beam position pick-ups in some accelerators here use feedback around the pre-amp to make a synthetic 50 Ohm input impedance that is quieter than a real 50 Ohm resistor. A beam position pick-up is very much like an antenna, exposed to the EM field of the passing beam.
OK, it's not a negative impedance, but it uses the same principles and it *does* make a better [lower noise] amplifier. My amplifier has an effective noise temperature of 30K or so, despite being at room temperature.
Jeroen Belleman