It is bullshit. Picture what's happening, whether or not mis-fire occurs: injectors are dumping fuel into all cylinders, good ones and misfiring ones. Misfire creates lots of unburned hydrocarbons, probably ups the carbon monoxide, too. O2 sensors "see" that, inform the computer, which then determines which bank is running too rich and "throws" a trouble code. It can't determine closer than that: there are 3 or 4 cylinders in each bank, V-6 or V-8. If misfiring, up to the mechanic to find which cylinder it is, whether ignition, or injector problem.
But fuel pressure related to misfire? I don't see how. A slug of dirty gas bought since filter was replaced could easily be the culprit IF pressure is indeed dropping. I assume you have not seen that with your own eyes.
If this is a "returnless" fuel system, it likely has a Fuel Pressure and Temperature sensor, which tells the computer what the fuel pressure actually is at all times. As demand for fuel changes, the pump speed is constantly varied to maintain pressure within limits. The computer can only "see" a bad Fuel Pressure and Temperature Sensor if it's electrical characteristics go haywire; it contains a mechanical diaphragm, connected to engine vacuum . A fuel leak there would be sucked into the engine and burned as excess fuel, but all the computer would know is that too rich running has occurred.
The older "return-type" fuel system has the "excess" fuel delivered to the fuel rail diverted back to the tank by the Fuel Pressure Regulator mounted on the rail, also a diaphragm operated valve, but has no electrical connection to the computer, so knowledge of it's functioning is limited to looking at exhaust quality via O2 sensors. I don't recall offhand which system your engine would have. If there are two tubes running to the fuel rail, it is return-type. They are usually close together.
That's the theory of it, more or less. You would really need more detailed info on exactly what is going on. What "testing" was done, confirm what trouble codes are present. More explicit, I might be able to help. imp