in terms of updates, i think treasures of nadia does a lot better, areas unfolds in a way that is pretty natural, i rarely bumped into a door deliberately saying "coming soon in future updates". but this occurs all the time in the genesis order. besides, treasures of nadia updates include puzzles, the genesis order won't have them until the main story is done.
although treasures of nadia didn't create the formula, it perfected it, 12+1 girls, hint system with game lore explanation, treasure digging, item upgrades, and most importantly it's in treasures of nadia nlt modernized girls' look. nearly everything is absolute perfection.
i really don't like the genesis order is still digging treasures, side quests should be solving cases since the mc is a detective, i'm sure there is a way to auto-generate fetch quests. however, there is one thing the genesis order certainly does better, the characters are all likable, i really hate that asian chick in treasure of nadia, ugly and totally unrelated to the story.
overall, the genesis order is good, but not as good as treasure of nadia.