I don't think the Patriots have the Ammo to move up to the second spot at this point. They have 2 late first rounders, 23 and 31, 2 later 2nd round picks ,43 and 63 , a late third , no 4th or 5th , 2 late 6th and a 7th.
The Bills have much more draft capital ,and their picks hold more value.
Cooks brought more in return in trade than he cost last season and is due a big contract next season. One NE would not be willing to pay.
NE is still stacked at WR so losing Cooks won't have any impact on their offense. Edleman, Hogan, Patterson, Slater, Britt, Dorsett, Mitchell, and Jordan Matthews. Plus a couple of other bodies in the mix. If anything, a trade up to the middle of the first for Ruldoph is possible but Belichick loves to add picks so who knows, he could even trade back with one of the first and second to aquire more picks.