Alright, NHL rivalries are not limited to teams that share a division. There's lots of rivalries where the teams are not in the same division, sometimes not even the same conference.
The Capitals-Penguins rivalry was cross-division for 20 years. Another famous example is Avalanche-Red Wings. And then there's Bruins-Rangers, which has the Boston-NYC element to it.
These cross-division rivalries are defined mainly by frequent meetings in the postseason.
So therefore, though the Coyotes will be in a separate division from the Golden Knights beginning next season, they still could develop a rivalry based on proximity, and maybe if they meet in the playoffs frequent enough.
The Capitals-Penguins rivalry was cross-division for 20 years. Another famous example is Avalanche-Red Wings. And then there's Bruins-Rangers, which has the Boston-NYC element to it.
These cross-division rivalries are defined mainly by frequent meetings in the postseason.
So therefore, though the Coyotes will be in a separate division from the Golden Knights beginning next season, they still could develop a rivalry based on proximity, and maybe if they meet in the playoffs frequent enough.