Everything Belichick said is accurate. Vaccines do not solve every problem. Nobody said they did. Vaccines combined with proven infection control methods (masking, ventilation, lowering community spread) work together to decrease transmission & give teams a competitive advantage.
Bill Belichick: "Your implication that the vaccination solves every problem...has not been substantiated. The number of players and coaches and staff members who have been infected with COVID after being vaccinated is a pretty high number. I wouldn't lose sight of that."