Receive-only folders sync among themselves?

I have a cluster with computers A, B and C.

There is a folder shared on A as “send-only”, and on B and C as “receive-only”.

My idea was that node A would send changes to B (since it has a faster connection) and then B replicates those changes to C without requiring A to be online all the time.

I tried testing this behavior, but didn’t get consistent results, so I’m asking, does this work?

Yes that works. A will send to B and C if connected, and B will start sending to C as well once it got anything from A.