Hello ChocoM,
I hope well. Unfortunately, I don't think it will make any difference. Once a VO has made up his or her mind about an application, additional documents would often not change their minds. As a matter of fact, if the VO has a favorable view of an application, an email would be sent requesting for that additional document. But if they do not ask, and you send it, I doubt it makes any difference. Furthermore, applications should not be more than 2months, the longer it takes the less likely an approval will be.
I hope it all works out for you.
All the best.
Omofar