As I've mentioned before, most of my friends IRL who watched Star Trek only watched TNG and the movies. Having DS9 stuff in Insurrection wouldn't have made them suddenly go watch DS9.IMO, the Dominion would've raised the stakes of Insurrection much more, and generated buzz among some in Trek fandom due to them being on DS9. I'm sure you are aware of the long lament by some-and I'm in that number-that wondered why they weren't in the film, and it's been almost 20 years and people are still raising that question.
I'm not really a Niner, but my brother was/is. Like with me, most of his friends who liked Star Trek were TNG Only fans. He got a few of them to give DS9 a chance by inviting them over to watch it, but not most of them.
So I don't see it happening. This was the late-'90s, not today. DS9 reruns were hard to come by, in shitty time-slots when they even aired reruns, and the DVD Season Sets didn't even exist yet (they didn't show up until 2003). The series was almost over and it wasn't exactly easy to watch the earlier seasons of it.
It wasn't until 2003-2004, when DS9 was on DVD and was airing on Spike TV that more people started giving it more of a chance, or started watching it at all. I was on TrekBBS at the time, and we had an influx of new Niners. To the point where Spoiler Warnings had to be posted for seasons that weren't on DVD yet.