Huh, I think you got it backward.
I was watching a baseball game last night, and the camera showed the pennant flags flapping. The road team announcer said "Those pennants; are ONE Nationals pennant and the rest are the old Washington Senators' pennants. Not sure why those are up, those belong to to the Minnesota Twins franchise. They should be celebrating the Expos' history, which is their franchise."
And it's like "Duh, the people of Washington DC don't give a damn about what happened in Montreal, they care about what happened in Washington DC, because they live there!"
The reason that history follows the franchise and not the city is simply because the person/entity keeping the history is the franchise. They don't stay put in the city. But when a new team comes back to a city, now there's a guy who's keeping track of both! The Nationals fly Senators flags, but they also have the Expos records and honor legends like Carter and Raines in the ballpark.
What I suggested wouldn't be taking franchise history OFF the table for Phoenix. It would be putting it ON THE TABLE for everyone, always. It's already on the table for Phoenix. Utah did not get it. The NHL has it.
It WAS going to be given back to AM with an arena deal. And there's no reason they wouldn't give it to whomever steps up to bring the NHL back to Phoenix. It's like 95% the next PHX team will be the Arizona Coyotes, because either they'll come back soon enough that the NHL will want to present it as "seamless," OR they'll be gone so long that nostalgia will kick in.