Could the school react differently to each spirit?

I thought about this on my was home and I was wondering if this is a logical thought.

When Dawn crossed over, the rest of the spirits felt it, and saw the lights flicker. It was explained as an energy surge, but what if the school changes what it does when a spirit crosses over based on their death?

Dawn was electrocuted, so the school reacted to her crossing over by the lights flickering. If any of the other spirits crossed over, would the school respond in a way that correlates to how they died?

The spirits still FEEL the crossing over, but what the school does changes for each of them.