Opamps can rectify high frequencies. Classic example is old bipolar amps like LM358, in the presence of frequencies over 100MHz (probably over 10MHz even). The input stage acts like a diode into a capacitor, rectifying RF. Thus, RF adds to the signal like a voltage offset.
JFET and moreso MOSFET types are less prone, and many precision amps these days have some manner of internal filtering, which the datasheet reports (immunity at fractional GHz and up).
The best idea is always to filter your signal down to only what's needed.
Tim