It's likely just as Tuidji points out then. Once another faction starts constructing a wonder, it will no longer even appear as a build option for you. This of course means you can benefit from this mechanic too. So you could rush to something like Erog's Tower, and then start on a 45 season building project without worrying about someone else completing it first. The only way you don't end up getting the wonder at that point is if the AI manages to conquer your settlement.
It probably ought to work the way Civilization does wonder construction. No hurrying construction of wonders and any progress made on a busted attempt is reimbursed to the faction in gold.