Update through 13 games...
The good news is that so far, we don't have any terrible teams. My worst team ('00 A's) is 5-8 and is in a 3-way tie for first in what I anticipated would be a very weak division (this team is 0-2 in 1-run games).
I have five 6-7 teams (30-35) but they are a combined 4-12 in 1-run games, which means 26-21 in games decided by 2+ runs, so there's hope for improvement.
I have four 7-6 teams (combined 7-5 in 1-run games). Two are currently advancing, two are not, including my top pick, 1915 Red Sox.
Ironically, my four 8-5 teams have been extremely unlucky (1-6 in 1-riun games). That's 31-14 in 2+ run games.
My three best teams (10-3, 10-3, 9-4) have been the recipient of good luck (14-3 in 1-run games, 15-7 in 2+ run games).
Overall, my 17 teams have an aggregate winning% of .561 with an average expected winning% of .570, which matches up with a 26-28 record in 1-run games.
It does feel that 1-run game luck will have a huge impact on playoff teams and which teams advance. There are 18 teams currently at 10-3 or better. They are a combined 51-13 in 1-run games and not a single one of these teams is below .500 in 1-run games. There are 38 teams at 9-4 and they are a combined 82-41 in 1-run games.