Coaching I'd assume would affect Team Chemistry the most. The bump in overall ratings wouldn't aid you that much in terms of winning, but it obviously wouldn't hurt.
You're biggest change would've been equalizing the "Consistency" values. Doing so, would have leveled the playing field and decreased the opposing side's intangible advantages.
The "Awareness" sliders also control this aspect of the game, but the CPU will always go on their runs no matter what; it's just how this game operates (legacy effects) regardless of ratings so don't be discouraged.