What does "non-adversarial" mean?
Conventional court-based divorce is referred to as "adversarial," meaning each of you is on the opposite side
Your lawyers try to get you each the best deal, which often results in a "win-lose" outcome.
"Non-adversarial" means working together co-operatively to reach the best resolution for everyone. Everyone is on the same side, aiming for a "win-win" outcome.