The reason jasmine is always offered as an absolute and not an essential oil is because it cannot withstand the heat of steam distillation. There are jasmine hydro distills like the traditional Indian ruhs which are done in copper vessels, but I doubt jasmine would endure the heat employed in distilling oud oil. I am not very versed in jasmine extraction, so this is at best only a guess. Your idea is very clever and innovative though: an Oud-Rose co-extraction for example! I can see quite a few people fancying something like that!
My friend Chris McMahon over at White Lotus Aromatics experimented with vetiver and other aromatics in this fashion. So he did Vetiver-Kewda, Vetiver-Tuberose, Vetiver-Jasmine, Vetiver-Rose co-extracts. While the resulting oils were very interesting to sample, I would prefer to have a superior quality vetiver and superior quality rose, tuberose, etc on their own rather than co-distilled in this way.