New England also lets this type of player go right before their abilities begin to slide off the counter.
The Giants will attest to that with their LT.
They are able to do this on a consistent basis because they have had Tom Brady for so long. When you have the best QB to ever play the game, you can get by with less than ideal talent.
The Patriots also may not sign a lot of players, but they do trade picks for them a good amount. Granted, they use them for a couple of years and then get comped when they move on.
Thuney is 27 and played excellent this past season, I actually expect them to resign him unless he wants to move on to another team.