When I look at the burned discs in Explorer, I see all the files that were in the VIDEO_TS of the source disc.
System has Windows Media Player
Your questions prompted me to try to play the disc by clicking on the disc name in my DVD drive and selecting Auto Play which has a default, i.e., JR Music Center (my server software) rather than Media Player.
Just reset my default media playback app back to Media Player and now both source and burned discs autoplay as expected.
Thanks for jogging the thought process, Ian!