What's weird is you trying to minimize the Bears leaving one of the biggest tourist destinations in the US for Arlington Heights .There is no other team whose identity is tied to a city the way its tie to Chicago .
If it wasn't nobody would care if they were called the Arlington Bears
but as for The Patriots
They are the New England Patriots
New England is a region comprising six states in the
Northeastern United States:
Connecticut,
Maine,
Massachusetts,
New Hampshire,
Rhode Island, and
Vermont.
There is no city called New England so they can move anywhere in that region and still be good because its already a regional name with close ties to Boston .