These points make me wonder why they even bothered fabricating a bogus "Strategic Operations Officer" title for Worf.
Well, at that point, Klingons were still supposed to be UFP allies; Gowron hadn't denounced the Khitomer Accords yet. It would have been politically unwise to publicly admit that Sisko had a specialist onboard whose sole purpose was to work against the Klingon Empire.
there was a deleted in scene in nemesis that explains why worf quit being the ambassador to quo'nos (end of ds9)
OTOH, we don't really know if Worf ever accepted the diplomatic position. At the end of DS9, he was still going through the bloodwine hangover from the victory party; the next morning, he may well have sat up in his bed and muttered "I promised what?", then contacted a few people and quietly skulked back to his DS9 job.
Timo Saloniemi