The order of precedence is determined by lottery, so there's an equal chance for all as to how the order of precedence is determined. The vote on non-votability, if there is such a term, occurs before such time as a trade could possibly take place. So if you're worrying about being able to trade into a position, that can't happen until after the non-votability is determined.
On May 8th, 2007. See this statement in context.