Aladdin carried a Dolby Digital 5.1 soundtrack, with split stereo surrounds, on some of its original theatrical prints, and that was released the year prior. (In fact, it was Disney’s first feature animation title to be presented in that format.) If a local listing is advertising showtimes in Dolby Digital for The Nightmare Before Christmas, then Disney most certainly had a number of Dolby SR-D prints produced for the release, and it’s likely the same mix that ended up on the DTS LaserDisc.
Speaking of Aladdin, I hope someone is able to find a genuine 1992 print of that film with the Dolby timecode and rip the audio from that…