Perhaps CC should be trained to wait for the captain to give a PA
No, not a good idea. As
TightSlot intimates, a go-around is a high workload situation for the flight crew, and we will be extremely busy for the first few minutes. And that assumes a serviceable aircraft – if we have gone around because of a gear or flap problem, then we are into extra checklists and procedures, and the workload goes through the roof.
That is precisely why it is SOP at my airline for the senior cabin crew member to give the go-around PA, and the captain will give more details / reassurance as and when workload permits.
If you waited until we got a quiet moment up front, half the cabin would have chewed off their fingernails by then.