Wait, so you use a situation where NE players did something that BB "frowns upon" as some kind of proof that coaches have control (a say) over player celebrations? That makes no sense.
So, does YOUR link mean that Belichick "choses" not to limit his players, as well? Or maybe he just doesn't care?
Because BB never disciplined Cooks, AFAIK. Cooks was never demoted, never missed time, never was fined. So, if JuJu's celebration should have been stopped by Tomlin (because "Coach absolutely has a say in the matter"), so too, should Cooks' have been stopped/disciplined by BB. You have to apply your "logic" evenly. If Tomlin "choses" not to limit his players, you have to say the same about Belichick, right? Otherwise, this would just appear to be a biased post.