Dear Alec:+++++ " Hi, has DD a "theoretical" advantage over belt drive that will translate into better sounds? " +++++
IMHO the opinion on DD advocates can tell you " several " advantages " and in the other side the BD advocates can tell you too the " advantages " on this design and maybe and only from the theoretical point of view both ( some way or the other ) can/could be right about each single advantage.
Now, a TT audio item is not a set of " single/aisle " advantages/disadvantages but a whole finished audio item with intrinsic trade-offs ( there is no perfect TT. ).
Where reside ( mainly ) those trade-offs? ( certainly not on the TT drive design. ) and this is a hard question with many answers, example: type of bearing, TT plinth, kind of motor choice, platter build material, arm board build material, TT " system " vibration/isolation ( external/internal ) mechanism, whole TT quality/build execution,.
These and many other factors are the ones that makes the " differences " and IMHO you can get/have the quality performance you are looking for with either TT drive mechanism.
Some people here and there try to put " things " in a very simple manner/way but the TT ( stand alone ) quality performance can't be judged in aisle way because this audio link is only a part ( important one ) of the whole analog chain where our ears and music/sound priorities are part ( too ) of that analog chain.
I'm almost sure that if you/we take a top BD ( like the one you own or a Walker. ) and a top DD ( say Mónaco ) with a matched tonearm/cartridge and care to set up ( the same for both TTs. ), same arm board build material, same suspension/isolation mechanism, same mat and an un-biased attitude you /we can't hear any detectable difference other that what we " want " to hear.
Now if both TT are designed the same ( mainly on build materials ) my " almost " sure can convert on a simple " sure " no detectable differences only because the TT drive system.
The Jfrech comparison help to tell us that the differences ( IMHO ) comes mainly for the TT design differences more than for the TT drive mechanism and in the case of his friend due that the tonearm in the TT's were different!!!!
The analog imperfections like an audio chain makes extremely complex to have a " simple " answer to your question: the whole subject is very complex and till today I don't read/know ( anywhere ) a precise answers that can be corroborated in a scientist/theoretical/mathematics model. Till this happen the best way to go is to have first hand experiences and decide ( take action ) in consecuence.
Btw, a good alternative is to own/run BD and DD in the same audio system and forgeret about useless " controversies " on that subject.
Regards and enjoy the music,
Raul.