Oh, silly me. I know your other thread! Thought I missed one just today. Apparently need to eat a proper meal.

(Being prepped -- veggies and tofu and rice, oh my!)
Now... before, with the child team, you could contact them individually? And they all worked together, or, in the same loop, yes? Is your current team in the same loop (with each other, not with the child team members)?
I just can't figure out why they would have it so different, but then again, I can't figure out bureaucracy, so...
Sure, they've got a system, but it might be worthwhile to inquire with each individual one regarding contact. Sometimes people are very by-the-book, and other times not so much. Explain the lack of timely response from the social worker, and see if they don't suggest an alternative (perhaps themselves!). If not, ask them directly what you should do in such a situation. Maybe that information isn't initially forthcoming, they simply present standard procedure. How to explain? Here's a parallel. You know when you look up information for troubleshooting some gizmo or site procedure and all their answers make the assumption that everything's working? Which... if it was, you'd not have anything to look up, right?(!) (Pet peeve, that.)

Then of course you've got to go digging for the "yes, but if the abc
isn't doing xyz..." stuff. The answers that exist, but are not as widely "distributed" you might say. Maybe it's like that.
Good luck getting this sorted, RB, and please keep us posted, ok?
Much