Not sure if you can do that, especially with autoplaylists which are a bit more strict in what they can do.
I agree that if not, that should be an option. Some people may like "some" of their playlists to have the same order all
the time because of the way a specific order plays on them emotionally. However, the option to change this up but at any
time revert it back to its original (or any custom set order) would be the
cat's pajamas
If someone doesn't have a solution, you may want to wishlist it.
Does your device have the ability to play random/shuffle?