That's incorrect. A spectrum analyzer does indeed "listen to everything."
With a directional antenna and a spectrum analyzer, a DF crew can sweep a given geographic area for electromagnetic emissions (e.g. radio waves). If your antenna is emitting electromagnetic radiation on *any* frequency when a directional antenna (hooked to a spectrum analyzer) is pointed your way, then your distance and signal strength can be judged/calculated.
If two such directional antennas see you emit electromagnetic radiation, then your precise position can further be calculated.
It does not matter if you are emitting a weak radio signal from your antenna. It does not matter if the radio signal you emit is on a specific frequency or zipping through multiple frequencies. It does not matter if you encrypt the data on your radio waves. It does not matter if you send data digitally or via analog encoding.
What does matter is that energy left your antenna when a directional receiver was pointed at you.
This does not mean that an enemy can discern the *contents* of the data that you are transmitting from your antenna.
However, it does mean that for the past century an enemy has been able to locate your position based upon you sending radio waves from your antenna.
Random, super-high-speed frequency hopping is no defense against modern DF'ing, either. A spectrum analyzer sees all.