That is a very inetersting question. My question would be, if someone finds getting an annulment important, why would they be unable to wait until the declaration is made? Since a true Marriage for Catholics is a Sacrament, why would one want to attempt something that would be potentially damaging to their souls?
While I don’t know the answer, and the local diocese Marriage Tribunal could answer the question, I’ll see if I can find out what I can.