Mixing in some 4-player matches--2 players from each country in the matchup--would really be interesting. It would give it a "Ryder Cup"-like feel, where the players participate in formats different from (but including) straight 2-player. When the 4-player games happen, I imagine that some quite unique tactics might develop regarding attacking, defending, etc. The turn order would alternate countries; teammates would not "sit" next to each other.
Scoring here could be either team total victory points or by individual, and then results for the overall matchup could be calibrated accordingly. (So perhaps a full point is awarded to the team if the 4-player matchup is scored as team total victory points, or a half point is awarded to each of 1st place and 2nd place if the players are scored individually.) Obviously I don't have the details worked out, but if the Team World Cup were truly to emphasize creativity and skill *as a team*, then it should include some 4-player matchups in my opinion. So every team member would partake in 1-on-1 matchups with a player from the other country (as outlined in the earlier posts), and then there are, say, four 4-player matchups (or something like that).
The total team performance--in both 2- and 4-player games--determines which team wins the overall matchup.