While I wouldn't dare to dispute the popularity of the scenes, in terms of overall importance to the episodes relative to other scenes (and perhaps their placements within the episodes), I can see why they might be candidates for cutting due to time.I MIGHT be misremembering this, but I could swear "The Way Of The Warrior" two-part version excised the Quark/Garak root beer scene, one of the most famous Trek scenes of all, which is so crazy to me.
I think the edit of "What You Leave Behind" also cut Garak & Bashir's final goodbye.
Those editors were not Garak fans, maybe.