I could be wrong, it's happened once or twice before, but I don't think the high school worries about specific rules for specific sports. I think they treat all sports the same (shaking my head no) in that matches can't end in a tie. We (soccer people) think it would be strange for a football game to end in a tie just as they (non soccer rule makers) think it's strange that soccer can end in a tie.
I think my point is that it's an all or nothing type of rule.
I've been coaching high school for several years now and as I sit here right now I'm asking myself "Do I like pk's or would I rather it end in a tie?" and the answer is, I'm not sure.
I have won games I should not have won and lost games I should not have lost because of pks.
I think it's important for young people to learn the joy and agony of competition and pk's brings that to high school games. The raw emotion of winning or losing a shootout is a feeling that you don't find in many other situations.
Maybe this is my opinion because I was a goalkeeper and loved the pressure that came with playing that position in that circumstance.
So I guess I do like shootouts but couldn't probably be talked out if it.
This is an interesting topic and thank you for starting the thread. I am curious to hear other coaches opinions.