As a father of 4, I agree with this too.
Every time I've take my kids into the lounge I am very aware if the volume gets too high, and with exception to the kids zone at the QP in SYD T3, the rule is that they sit there and remain quite. (A bit of food and something to drink helps nicely).
Given the sort of person I am, if my kids started running around like wild things I would most likely eject the kids (and sadly myself) from the lounge well before any staff member felt the need to ask us to leave. I personally don't like the idea of my kids disturbing others (My dad was very much the same way with me when I was a young lad, so that's probably got a lot to do with it)