It seems to me that if you use the digital feed (One coaxial or Toslink) from your DVD player and, s most do, have your receiver do the DD/DTS decoding, the receiver would be the determining factor.
Unless you use the D/A decoders in the DVD player itself, which would entail running 6 analog feeds to your receiver and few offer anyway, instead of those in your receiver, I'd say the answer would depend on which has the superior DACs.