Something else to check out, the transport mechanism is custom designed and built specifically for the CD-P2 whereas the CD-S uses a Philips mechanism.
In my experience QUAD produce the most brilliantly detailed natural sound I've encountered within their price range.
However, QUAD is in my experience dependant on premium quality interconnects and speaker cable and also high quality CD's etc to produce the best results.
In other words, don't attempt to get away with any freebie/offcuts-QUAD equipment will react harshly to such false economies.
Again this is a matter for the individual but give Van Den Hul Thunderline Interconnects and Magnum speaker cable a try.