I used to play in two or three yearly all through high school. There are a few things that you can take from a scramble. First, almost everyone has mentioned the good things that can happen when you play relaxed golf. I try to get into that exact feeling when I am playing my own ball as well. It doesn't always work, but when it does I become dangerous. Secondly, people talked about that high risk shot and not normally taking it. I am a really agressive player, any par four under 340 flat or 300 slightly uphill and I am pulling driver and going for it. I feel like a pitch from ten to twenty yards will always end up closer than a wedge from 90. So I carry that aggressive mentality over to my normal rounds as well.
The last thing that you can take from a scramble is how two beers will improve your swing but 5 will ruin it. It is one of those fine lines we walk in pursuit of perfection.