That's not 'playing' teams, that's just plain trade negotiations. You go back and forth between all the suitors until you hit a deadline and/or you think you've squeezed as much as you're going to get.
No situation is the same...
Yes its true this is not some 4D level chess kind of mind games here that the Sabers are playing.
But there is no harm in subtly letting the world know that a deal is close to getting done. It just may inspire a team, maybe a surprise one that needs a shakeup - or someone that was on the fence earlier to look a bit closer and take another swing - especially because VGK are a team cant offer nearly as good a package as most teams in the league could hypothetically offer. If anything this is subtly telling the hockey world that the once insane asking price on Eichel has obviously dropped if the VGK are the last team standing.
Many trades and deals come together and materialize at the very last second. Thats the truth.
And as long as names arent getting leaked, this is Buffalo doing their due diligence if anything, imo.