We submitted our application yesterday. I'll share some info about how the process went for us.
When my husband called Special Branch to let them know we had all our paperwork together, our case officer asked my husband to bring our documents on his own so they could review them together without me. We complied, but because we were confident that we had everything ready, I hung out near the office while they met. As anticipated, Special Branch was ready to proceed with both of us after lunch.
At that time, we finalized our documents, signed some additional forms, and I was fingerprinted. Then, we met with a more senior member of Special Branch who conducted an interview, asking us pointed questions about why we are childless. The simplest answer we could provide is that we are letting nature take its course. It seems as though we passed this interview.
I will need to get my passport certified at the US Embassy again (the copy from last year is considered too old now even though my passport itself remains the same), but there is no particular rush on me delivering the new copy.
Noteworthy for us, we've been told it's completely fine for my husband to travel back and forth to the US as his work requires... the only travel restriction is on me, and only for the next 4 months or so.
Special Branch has been very clear about their expectations of us, and so far, so good.