Player Ejection

[Baseball_North]

I am interested in hearing some reaction from the following situation.

B3 at the plate. There are 2 outs and the runners are irrelevant in this situation. There are 2 strikes on the batter. The pitch comes in very low, and the batter swings over it as the catcher short-hops the ball. The BR could have run down to first, but he just started back to the third base dugout. F2 wanted to make sure he was out, so he jogged about 5 steps toward the dugout, chasing down the BR, and placed a tag on him. The batter was pissed that he struck out, and as F2 tagged him, they both gave each other a small shove. There wasn't really a clear instigator and no one fell over. It was just a little shove back and forth. The batter then told the catcher where to go (or something... it wasn't heard from the dugout or the stands), and the catcher said something back to him.

Suddenly the PU comes up, points at the BR and says "you're gone!". Everyone was in shock, as the situation really developed into nothing. Our coach asked the PU why he threw him out of the game. The umpire replied, "because he swore."

Is it just me, or is this a really weak ejection? He wasn't swearing loudly... both players were somewhat guilty... and he wasn't even talking to the umpire. Is this a case of "rabbit ears"?