Killer concept idea: Killer that profits from Genrush

Wouldn't it be cool to reverse things?

The game is starting and survivors are rushing to repair gens and only after some time they find out that it's THAT killer. Maybe make him become more powerful with each repaired gen, until some condition is met (until something is found and destroyed on the map for example). This way, when starting the game survivors are never sure if they should genrush or not and will make mistakes, they will have to find out first who they are playing against.

Or a killer that is weak at the beginning and must be chased by survivors, he could be luring and completing some specific killer objectives (stalking survivors from distance or something else).

That would be refreshing.