Something actually happened last night in the other league that I play in that actually highlights how the playing order can affect where someone ends up in the league standings and to support that it's not necessarily better for the team if the best player on our team plays the best player on the other team.
In this league, we don't play the same person all 3 games. The home team and the away team both fill out their playing order independently, and then they share their sheets to complete the full order. The Away Team then rotates down one line for each player after the first round so everyone plays 3 different people.
So before our captain completed our sheet, he told me that when he went up to get a drink, that he got some "intel" about the other teams playing order. He found out that the top player on their team (who is currently the top player in the league) was set to play first.
Well, for fairness to our OWN team players, I insist that the top average on our team plays the last game of the night, the second highest average plays the second last game of the night, etc. Because MOST teams want their top player to play the last game of the night in case the teams are tied 7-7. You want your best player to have a crack at running out and winning, where the other team's player doesn't even get to shoot.
In this case, the top player in the league on the other team is really only the third best shooter in the league by skill level (my captain and I assessed and agreed to that based on what we know about all of the players). However, because he chooses to play first every week, he gets to play most of the other players weakest players. To me, that is an issue for fairness among their OWN TEAM players. I really don't care. All we can do is arrange our order so it's fair for everyone on our team.
Now, because our captain saw their top player playing first, he asked if we should change our order and have me play first. Well, guess what the answer was? Absolutely not. I ended up winning all 3 of my games with 1 table run. The first game our weakest player actually beat their top player anyways. The match did actually go down to the very last game of the night. We were tied at 7-7 and I had to play their weakest player and I beat him and we won the match 8-7.
So what was better? For me to play their best player because I am our team's best player? Nope. As far as the team goes, it was a wash, but as an individual, I got 4 points for the night (3 wins, and 1 table run). This is another real-world example to show that the best players on each team do NOT need to play each other to benefit the TEAM. In fact, I would argue that it was best for our team that I played the last game of the night. Period. No matter who I was playing.