Your original idea is far more interesting to me. Picard's arguing for caution in direct opposition to his own personal interests.
But I think that's what Picard eventually did, though it was "off-camera" between scenes. Still, the scene with Worf let me dramatize that conflict between his sense of the greater good and his personal feelings. A confrontation with an admiral might've covered much the same ground, but it's more emotionally satisfying if it's between two beloved main characters and illuminates their relationship, rather than being between Picard and some guest admiral with Picard's dilemma being strictly internal.
And it is arguably more traditionally in line with Picard's character, to boot.
Which strikes me as the best reason not
to do it that way. Why settle for a "traditional," predictable way of writing Picard when I could do something more fresh and unexpected that reveals a new facet to the character?