It should. The CBA was agreed to by both parties. In the Brady case, the first judge threw it out if I remember correctly. On appeal, the judge said the NFL fucked up the process but the CBA gave Goddell the powder to do what he did. So he overturned the first judge.
But Rodgers leads the league in frumpy expressions and negative body language on the sideline, which makes him, like Josh Allen, a unique double threat.