I thought about that conversation when Ezri Dax pretty much picked up Jadzia's life exactly where she left off, and no one batted an eye about it.
But she didn't though. All her relationships had changed. Sisko accepted her, but he never embraced her, at least never like he did Jadzia. Kira was no longer her BFF. And Quark was passive at best about her.
Even Julian's relationship with her was different. His crush on Jadzia and romance with Ezri was really meant to be a juxtaposition.
And the host/symbiote relationship was totally different. Where Jadzia Whatever-her-name-was (Does anyone know?) was an equal partner with Dax, Ezri Tigan was a complete subservient of Dax. This dyad shift was explored a little in "Field of Fire" and hinted at in other parts, but it was really the lit writers who explored the full weight of it. I suppose had the show run longer, they would have explored it more.