Is it possible to reorder items, via a drag and drop and then a moveMediaItem(fromIndex, toIndex) call, after shuffle mode has been set in the ExoPlayer/MediaController?

Example:

Media items index pre-shuffle: 0, 1, 2, 3
Media items index post-shuffle: 3, 1, 2, 0
Media items index post-shuffle and after moveMediaItem(2, 3): 3, 1, 0, 2

I have tried to do that sequence, but it seems to not work. I get different results that aren't super consistent. Most of the time, it seems like the order does not change after the moveMediaItem(2,3) and it keeps the previous order: 3, 1, 2, 0.

My main question is should this be a valid scenario and supported out-of-the-box, or is this something that I would have to implement somehow with an external list and such?

I have seen reference to a player.setShuffleOrder() call, but I only see it on an actual ExoPlayer and not the Player interface. I am using a MediaController, which is a Player interface, so I don't think it would work for me as is.