Yeah, I forgot flare. But really only nominally useful (same with Black Market and Tribute), since which player is assigned odd or even is determined randomly.
The situations in which it would be useful for that are incredibly specific, and niche-y. If you, for example, wanted to use a flare gem and you had two "Keeper of Souls" cards both at even positions or both at odd positions, then you might move one over to guarantee that you could play one of them after the flare attack. Really, very obscure though.