Architex --
Carbon fiber will conduct electricity, but is considered a high-resistance/rather poor conductor. And so, if you were to pass your coil over a carbon-fiber tube, at close distance, the machine may report a weak, low-conductive signal. However, this is not an issue, when the carbon-fiber tube is attached to the coil -- as the shaft is not "in motion" relative to the coil, and therefore the machine (which is of course a "motion" detector) does not detect the shaft. This, plus the fact that a CF tube is only a weak conductor to begin with, renders this of no concern, in terms of use on a metal detector.
Many detectors (CTX 3030, E-Trac, Explorer, Safari, for instance) are of a factory design that employs the use of carbon-fiber lower rods -- and these machines are among the top performing detectors available; as such, adding a carbon-fiber lower rod to your Equinox is likewise of no issue, in terms of performance of the unit.
Steve