Who are we talking about here? I'm looking at their roster, I don't see one untouchable player. You could argue Tanne Jeannot, despite his bad sophomore slump, even if he gets back on track, he's not a player you build around.
Nashville needs to go scorched earth and acquire as many good prospects and high draft picks they can, they're stuck in the mud and going nowhere with the team they have now, and likely they'll only get worse.
These guys like Trenin and Jeannot, for all that they are 3rd liners, sure seem to attract interest and be surprisingly difficult to find. It may not count as "building around" to keep them, but I don't think they are easily replaced either, not from free agency or from the draft.
Anyway, there will be no plan whatsoever to "rebuild", and I do not believe that management would remotely see the team in that kind of position. They had Norris and Vezina finalists last season and two 40-goal scorers, and management is more looking for a step up to contention than any kind of rebuild. Tweaking the roster by adding McDonagh as the stabilizing veteran blueliner that was lacking, Niedereitter as the additional 2nd line gritty scorer that Kunin couldn't become, and Lankinen as a viable NHL backup when the injury to Saros seemed to torpedo the team last year, those moves were seen by Poile as his chef's kiss on putting together a competitive team.
Whether he's right or wrong, that's still going to be the mindset. And whether the team is shooting itself in the foot keeping Hynes to run it all into the ground is another issue. But regardless, I don't see any appetite materializing for any kind of "rebuild", certainly not "scorched earth", probably not even "slight retool"... that latter step was already completed as far as management is concerned.
Right now we are seeing Parssinen, Glass, and Novak step up at center, and we've got Tomasino and Evangelista coming for some additional skill infusion on the wings in the near term, and so I expect the extent of the rebuild will just be setting aside veterans who get conclusively outperformed by these internal promotions, rather than anything more proactive involving long-term stockpiling of draft picks and that kind of scorched earth stuff. The centers listed may make Johansen expendable, and the wingers could gradually nudge out Niedereitter or Granlund. But that's all likely to just happen organically rather than with any big fireworks or tank parades.
And the team should want to keep guys like Trenin and Jeannot all throughout that process.