TNG was off the air by the time the Dominon War started in DS9, and the movies didn't need to worry about it. Voyager took place in a quadrant far, far away with little to no communication with the Federation and thus didn't have to worry about mentioning or incorporating the war in episodes.
But if a show, Voyager or otherwise, had come out after TNG ended that took place in the Alpha Quadrant, do you think they would've addressed the Dominion War? They almost would've had to at least some of the time, and it's hard to see the war not affecting the show in a major way for at least a short amount of time.
But I then wonder if Behr and co would've even been allowed to do the war if Voyager wasn't set where it was. There's a lot of coordinating that would've needed to be involved, and writers aren't always great about that kind of thing. I could see Berman putting the kibosh on that long-time storyline because he didn't want to deal with it across multiple shows.
But if a show, Voyager or otherwise, had come out after TNG ended that took place in the Alpha Quadrant, do you think they would've addressed the Dominion War? They almost would've had to at least some of the time, and it's hard to see the war not affecting the show in a major way for at least a short amount of time.
But I then wonder if Behr and co would've even been allowed to do the war if Voyager wasn't set where it was. There's a lot of coordinating that would've needed to be involved, and writers aren't always great about that kind of thing. I could see Berman putting the kibosh on that long-time storyline because he didn't want to deal with it across multiple shows.