that doesn't make ANY sense... a compressor just controls dynamics, imagine a little gremlin adjusting your volume, threshhold tells him how loud the signal has to get before he starts paying attention, ratio tells him how low to reduce the volume based on how far the input signal is above the threshold, the attack control tells him how long to wait from the point the signal exceeds threshhold before adjusting and release tells him when he can return to full volume.
If anything, compression will make a dirty guitar sound even dirtier as it will amplify distorted characteristics of an overdriven sound when its working, plus most circuits add their own subtle distortion.... this is why most recording engineers will (or should) tell you to back off the gain when recording. Even if you aren't going to compress the guitar track and you don't mix with bus compression, in the mastering phase the whole track will get some dynamics control and the guitars WILL sound more distorted by the time they reach the end listener. Even the nicest mastering equipment will add a little harmonic distortion (across a stereo master this should help act as 'glue', but its there) and as those guitar tracks get squashed the crunchy harmonics will be amplified and because they are square-ish waves already they will automatically sound louder than the 'clean' component of your tone. The ratio of harmonics will get skewed by the compressor and 'artificial' harmonic content from the compressor will be added. VCA designs are typically 'cleanest', while FET, sharp-cutoff-tube and opto designs will add more of their own distortion (though it will be more musical and probably more pleasing to your ear than distortion from a VCA-type unit). By the way, all those names of compressor formats refer to the detection circuit, though in the case of sharp-cutoff-tube and FET designs it also tells you something about the make-up gain amplifier (which will also add distortion).
I am thinking Gilbert didn't explain his signal path properly. Hes a great player, but maybe he's totally out to lunch when it comes to his gear! You feed a compressor a clean signal and you get a fatter, more harmonically rich signal with a lot of obvious detail but less dynamics, crush it hard enough and it will top being a clean tone... but if you feed it distortion you get more distortion (this CAN be a good thing, I am not making a value judgement).
Pretty much your rule of thumb is that every stage of processing, be it analog or digital, will degrade your signal-to-noise ratio, limit bandwidth and add (sometimes imperceptible) harmonic distortion to your raw signal. Just the extra wire involved will do this. Anyone who says otherwise is trying to sell you something!