When I went to VFS Dubai, first thing they did is checked that all family members are present.
Then they took the documents from us and we filled a form for delivery of passports by courier.
Other than seeing all are present, they family members have nothing to do.
That's the reason I told you ask VFS for a way out. Maybe your wife will have to give a no-objection letter.
Moreover, they may ask you how you have their passports since they have already traveled. of course we can get by courier. but family members should have a residence visa for Dubai.