Who ALSO isn't from the "Federation Government" and therefore isn't the "only" source for the claim that Starfleet is not a military organization.
Even then you're forgetting Riker, who openly agrees with Picard and echoes his sentiments, and Kolrami, who is in a better position to dispute this fact than probably anyone else on the ship but instead replies "Then why am I here?"
You can't really handwave that away as Picard's "idealism." Picard wouldn't have gone along with the simulation AT ALL if it hadn't been for the urgency of the Borg threat, and even then sees "combat proficiency" as just one of many possible tools in how to deal with them. Given that Picard is also the only man in the Federation who really understands the nature of the threat AND is most likely the one who will have to deal with it, he's in a better position to understand Starfleet's ideal response than any man alive. And here he is telling us that "combat skill" is not the ideal solution.
Which actually turned out to be pretty accurate, as Ben Sisko found out the hard way.
And I was quoting Wormhole while pointing out that Voyager was built for MANY things, not just combat performance. The broader point is that Voyager was sent on that mission because one of its own officers was involved in the sting operation and Janeway was directly responsible for the outcome.