America’s Team refers to the Dallas Cowboys. It’s cute that you want to rebrand the Patriots that, but like it or not, that descriptor belongs to Dallas.....no matter how awful their current season is.
You’re right.
The title “America’s Team” cannot go to either these expansion operations. The Dallas Cowboys were created ONLY to chase the AFL Dallas Texans to Kansas City. The Boston Patriots didn’t even start out in the NFL.
“America’s Team”, if there even should be such a thing, would have to be one of the very early teams, and preferably one that hadn’t moved across country and has had a storied history.
If there must be an America’s Team, it would have to be Bears, Packers or Giants.