Indeed not. Lots of people will sell you zero-bias diode detectors that operate in their square-law region. A typical sensitivity is 0.5 mV DC out per microwatt of RF in, which is about 7 millivolts RMS for a 50-ohm detector. Such a detector outputs about 5 uV DC at -50 dBm RF in, about 700 uV RMS. 5 uV is plenty enough to trash a thermocouple/load cell/microphone amp.
Diodes don't quit detecting below 26 mV.
You-know-who might consider googling "square-law diode detector" and "zero bias diode detector". Adding bias, as an opamp front-end does, just improves RF detection a bit.
John