I think you might reading this strictly. Persuation is always in play. If you don't need to persuade someone actively that just means they are already persuaded in some way. Maybe that way was purely organisational (e.g. part of the normal operations) or it was by some higher up.
As an engineer I agree that an organisation should work as you described. But depending on where you are and what it is you need to do you might need to persuade somebody to do something. Or if the doing is implied you might need to persuade somebody to do something faster (means: they should priorize your thing above other things) or with a higher quality than usual (means: they should use more time, put their best hire to work or whatnot).
I agree that this isn't optimal, but each department may see other things as important. For accounting that audit might seem more important than getting your order done quickly, because for them it is the bigger, scarier and more complicated thing. So persuation sometimes just means reminding people why the thing you're doing is important.
As an engineer I agree that an organisation should work as you described. But depending on where you are and what it is you need to do you might need to persuade somebody to do something. Or if the doing is implied you might need to persuade somebody to do something faster (means: they should priorize your thing above other things) or with a higher quality than usual (means: they should use more time, put their best hire to work or whatnot).
I agree that this isn't optimal, but each department may see other things as important. For accounting that audit might seem more important than getting your order done quickly, because for them it is the bigger, scarier and more complicated thing. So persuation sometimes just means reminding people why the thing you're doing is important.