That is my line of thought as well. Depends on the parameters of the contract. If it’s a one year deal. Then he can get cut( nothing ventured, nothing gained.) Bill isn’t the sentimentalist type (see: Lawyer Milloy, Richard Seymour, Mike Vrabel, Randy Moss, amongst others)
However, if it’s a two or three year deal. I think Belichick may have Tim switch positions.