Technically speaking, DVD players dont process anything in that sense. For the most part, they just spit the signal out. All you need to worry about with your DVD player is to make sure DD5.1 and DTS are both activated, and it will send the correct signal to your receiver for processing.
You'll also want to check the setup/language menu on the disc itself before playing, because several DVDs will have more than one soundtrack to choose from. IE... a choice between DD or DTS tracks for playback. More often than not with DTS movies, you'll need to manually select that option for playback on the movie setup menu before the movie begins.