>>75608583to show with math of why your groupstage stuff doesn't work as you did:
2 teams had to lose their first match, so at best they could win 2 matches and gain 3 sets in the matches they lost, so for their first game they could only get up to 7 points at best, then their second game is half points so another 5 points at best if they win ALL matches, meaning they can get 0-12 points only
then another team had to win once and lose once meaning they had to get at least 6 points in their first game and again no more than 7 in their second match, then they get a third match at half points so they can get anywhere between 6-18 points
then you have a team that wins 2 games meaning they had to get at least 6 from the first and another 6 from their second, meaning they could get anywhere between 12-20 points
and then the fifth team gets 3 games at full points meaning they could get anything between 0 to 30 points
TL;DR
2 teams could only get 12 point max
1 team could got 6 at least and 18 max
1 team could had to get at lest 12 points and can get max 20, meaning the first two teams could never go above this team even in the most perfect result for them
and the last team can get anywhere between 0 to 30 points meaning they almost triple the pointrange than 2 teams and almost double for a third giving a clear advanntage