I'm not sure how this correlates to whether you or someone shorter should toss.

I have heard of it as an issue for people in the Womens game, they sometimes tell taller officials not to extend their arms fully when calling fouls so as not to appear intimidating to the players. While noone has ever come right out and said it - I have seen larger officials be directed toward the mens side and away from the women.

More often I have heard it with smaller officials on how to get a better presence on the floor, by getting the hand up in the air standing straighter, deeper voice etc.

I have never been told not to raise my are all the way up on fouls but I have been told to be careful how close I get to the coaches when taking to them so I doesn't look like I am talking down to the them...especially if it is a female coach.

Stop Picking On ChuckElias. He's Not Here To Defend Himself ...
 

That would mean that ChuckElias would never toss, never, never again.

I've been told that every one of Chuck's evaluations starts with "First of all, stand up when you referee" and usually ends with, "Oh, you are standing up." ;)