Pretty good question. You have to play or simulate (monte carlo it) a whole bunch. Figuring out the best strategies would take the best chess players and the latest technology to even begin to find the most advantagous positions.
I like 960 because:
There is a possible luck factor in the openings.
Requires more active thinking and less reliance on rote-robotic strategies.
I love to see a 960 round-robin tourney featuring several grand masters and see how quick/well they adapt to new situations.
This would make the game more fun again as we are always discovering new tactics that can be reapplied to normal chess with a different point of view.
Here's a question: because Bishops begin on opposite colors - your black bishop vs. my white - is it possible to have an unfair or unequal starting position because of this? Especially if it favored the white player?
This is either a question or a puzzle (?) Can you create an unfair starting position for 960?