Dought & clear, - Should the one who is slaughtering the sacrifice utter the intention at the time of slaughter?.

If the one who is slaughtering a sacrifice says, "This is on behalf of
So and so," i.e., he names the one on whose behalf the sacrifice is
being offered at the time of slaughter, is this uttering the
intention?.
Praise be to Allaah.
This is not uttering the attention, because if the one who is offering
the sacrifice says, "This is on my behalf and on behalf of my
household," he is stating what is in his heart. He has not said, "O
Allah, I want to offer a sacrifice," as would be said by the one who
wants to utter his intention. Rather he is only expressing what is in
his heart. The intention was already there, from the time he brought
the animal, lay it down and slaughtered it, so he had already formed
the intention. End quote.