Having trained pilots for about a10 different airlines using Boeing based SOPs, I have never seen one that requires the PF to state the required action, just to monitor it.
The usual procedure is:
PF to request the desired checklist (e.g. Engine fire checklist)
PM to state his intended action (including identifying the requisite lever/switch/button)
PF confirm the identification and intention
PM to accomplish the action
PF to monitor the action
Asking the PF to call out the action makes no sense - as the chap with the highest workload, he is more likely to get it wrong.
As for requiring it to be word perfect, that's a nice idea but unlikely as (under pressure) small slip-ups are almost inevitable. As long as the gist and intent are clear and unequivocal that's enough.
They are getting "supervision" mixed up with "dictation". I'd love to know which airline this is.