That is because the quest naturally points you to where the quest objective is gained, as with all other quests.
I'm pretty sure Haavok or Faatal can add a manual "fake objective" though, I seem to recall an Argent Tournament daily whereas you had to kill a fire elemental for an item and then use that item on a frozen nymph - the fire elemental had no objective of its own but was still given an uncompletable objective point.
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