Fewest average pitches in the 1st inning from the offense:
1. Red Sox - 15.0 pitches
2. Rangers - 15.6 pitches
3. Giants - 16.0 pitches
4. Twins - 16.1 pitches
5. Padres - 16.2 pitches
TL;DR no team in baseball works the opposing pitcher in the 1st inning less than the Red Sox