When I do a generic search for "Colpitts oscillator circuit" I get lots of results with circuit examples that use an NPN transistor in a common emitter or common collector configuration as the means for providing the amplification/feedback necessary to sustain oscillations in an LC tank circuit. I have also seen a number of circuit examples that use a JFET instead of a BJT. However, I see almost no circuit examples that use a MOSFET.
Is there any reason MOSFETs in Colpitts oscillators seem so rare? Are JFETs and BJTs in fact used in Colpitts oscillators more frequently in practice? If so, why? What are the pros and cons of using each type of transistor in a Colpitts oscillator?