You'll find many more examples of top players signing second contracts than not.
Extended: Seymour, Warren, Mayo, Brady, Light, Mankins, Koppen, Wilfork, Mayo, Vollmer, Edelman, McCourty, Gronk, Solder, Cannon, Hightower, Harmon, Ryan, James White, Shaq Mason, Bentley
Not extended: Branch, Thuney, Samuel, Chandler Jones, Jamie Collins, Trey Flowers
21 top Patriot players have signed 2nd contracts.
Only 6 haven't.
Of the 6, we really only messed up on 3 of them: Branch, Thuney and Chandler Jones (although that's debatable since this guy is so far out of his mind).