I can't throw with a helmet on. Even a hat can be a hindrance. Gloves too.
I love tossing the throw bag.
I'm retired now but when I was active in the biz there was usually more than one person wanting to try their hand at the toss. Of course being the owner I often selfishly hogged the tossing. Then one day I got the idea of more than one person tossing at a time. The climber that was doing the tree got a bag and line to toss but I'd toss my bag right along with them. A person often liked the crotch they caught over mine, human nature. They climbed whichever crotch they wanted but we'd leave the other line in the tree so they could do a switch when they got to altitude. Sometimes the climber would 'choose' the line I had caught and may yell down from the tree 'I see what you mean'. My head swelled and stuck at the size it is today.
The competition is good if you have the time and the discussion while tossing is often of planning the climb then climbing the plan. As we all know, plans often change with a view from the top or near top.
I've also set more than a few rigging lines while the climber was in the tree as an aid. Often tip tying over obstacles from the ground.
Lest I sound like I'm throwing down an unnecessary about of bravado........
......I consider myself a mediocre tosser and climber when compared to some of you folks.
P.S. If a climber wasn't sure from from the tree if there was enough room for a limb or tree top, but I thought there was, one of my favorite shouts was 'go ahead, if there's damage, it's my fault'. As the owner, it was always on me anyway!