CDs have notoriously compressed, and yes some compression and peak limiting is used on vinyl, the idiots marketing cd have gone nutz with it. surely you have seen the oscilloscope tracings illustrating this.
for all the claims of digital proponents, vinyl mostly still has the edge on dynamics. the JUMP factor is much more prominent on LP than cd. also, there is signal BELOW the noise floor of analog but NOT on digital. the same goes for overload. once digital overloads, its a horrible noise, with analog, there is tape compression and some tolerable distortion.
i thing what he is trying to say is the sound is more relaxed which is one of the factors i always highlight when explaining A vs D. that relaxed/satisfying feeling from analog vs the tense/done with it feeling of digital.
these factors are mitigated with sacd and dvda.