They might... I just feel like Belichick's pride would make it REALLY hard for him to intentionally tank a season for draft picks... Especially if he's trying to prove that he can win without Brady.
So while I threw the tanking for Trevor thing out there, it only makes sense if it's a full-scale rebuild... If they can make some trades, acquire more 2021 draft picks in addition to picking high in each round, etc...