I am now broadcasting one of our 9 SSIDs, and all is fine (of course). I will probably start broadcassting the others if that is needed.
The fun part is that now at work we all seem to agree that hidden SSID is not useful.

I had never looked into this before, and just assumed, without data, that we were hiding it for security reasons. Once I looked into it, and asked you all, I can't find a reason why SSID should be hidden, and nobody in our organization even remembers why SSIDs were hidden in the first place.