Probably not. He'll get a huge fine and maybe some other form of nominal punishment.
The difference between Snyder and Sterling is that Sterling was an overt racist in a league where nearly every player is African American.
Snyder owns an organization that promoted sexist behavior in a league where zero players are female.
The irritatingly hilarious part of this is how Danny thought he could get out in front of the story by announcing the name change just a couple weeks prior to this hitting the fan....like we're all supposed to believe he magically got woke in the wake of Black Lives Matter demonstrations. [eye roll]
It could go deeper than a fine....we have heard about how poorly Danny treats people. FWIW, I don't think he loses the team, unless the fan backlash forces his hand, but I think it is going to get even messier than it already is.