It isn't just a matter of "don't bother with fertilizer", you shouldn't apply it at all.
"Winter rests" are usually cooler period with very little rain. No rain = no nutrients being washed down onto the plants. As Roberta pointed out, that doesn't mean "totally dry", either, as early morning dew helps keep them hydrated.
Folks who grow these in semi-hydro culture typically keep them watered all winter, but apply no fertilizer until new growth has emerged.