Baseball: Arguing Balls & Strikes, If...

In Major League Baseball: Can the manager argue balls and strikes (on the opposing team’s batter) IF the home plate umpire had to appeal to the first base umpire for a ruling on a check-swing? What if it were the same situation except the batter and manager are on the same team? …Or, is arguing balls and strikes NEVER allowed?

Rule 9.02©

On a half swing, if the manager comes out to argue with first or third base umpire and if after being warned he persists in arguing, he can be ejected as he is now arguing over a called ball or strike.