H1 and H4 Dropbox

Hello

My wife’s and my visa were expired and we both are eligible for dropbox. My appointment is on May 25 and my wife’s is on May 22, different VACs but planning to drop off the documents in Hyderabad.

I heard that my wife has to wait until I get a new visa stamp to submit her docs as we are would both be in India, but if I am in US she can just submit the documents without my new Visa stamp.

Is this true?