FrogReaver
The most respectful and polite poster ever
Fighting styles are pretty minor though that seems a way to tweak a small easily understandable amount though.
Do you know how much damage per day +2 damage on duelist would grant a champion? It scales with both action surge and extra attack.
Assuming 20 rounds of combat per day and 3 action surge uses that's 23 attack actions (assuming 65% chance to hit), then +2 damage adds the following daily damage values. Looks decently close to the battlemaster in terms of d8 damages.
23*1*2*.65 = 29.9
23*2*2*.65 = 59.8
23*3*2*.65 = 89.7
23*4*2*.65 = 119.6