See all you have to do is post something wrong and the internet will fix it for you! Thanks for the corrections.
It does look like with better math the Battle Master is coming in at a much more acceptable level. However unless there is something I missed, the Champion is still severely lagging behind. Would you agree that is still the case?
Depends on how you define "severely," but yeah, the Champion lags behind the Battle Master.
Here's calculations I made between the two over the course of a 30-round day, taking crit ranges and crit damage into account since they're relevant with the Champion in play.
vs. AC 13 + proficiency bonus (65% chance to hit)
30 rounds of combat/day, 2 short rests/day
All characters with greatsword + GWF Style and 20 STR
Champion
Lv. 11: 33*3*(.55*13.33 + .10*21.67) = 940.4
Lv. 15: 33*3*(.5*13.33 + .15*21.67) = 981.6
Lv. 19: 36*3*(.5*13.33 + .15*21.67) = 1,070.9
Lv. 20: 36*4*(.5*13.33 + .15*21.67) = 1,427.8
Battle Master
Lv. 11: 33*3*(.6*13.33 + .05*21.67) + 15*5.5 + 8*6.7 = 1,033.4
Lv. 15: 33*3*(.6*13.33 + .05*21.67) + 21*5.5 + 11*6.7 = 1,088.3
Lv. 19: 36*3*(.6*13.33 + .05*21.67) + 21*6.5 + 11*6.4 = 1,187.7
Lv. 20: 36*4*(.6*13.33 + .05*21.67) + 21*6.5 + 11*6.4 = 1,514.6
* Riposte Lv. 11-17 roughly equals .65*(13.33+5.5) = 12.2, vs. 5.5 of on-hit maneuver, difference of 6.7 per SD.
* Riposte Lv. 18-20 roughly equals .65*(13.33+6.5) = 12.9, vs. 6.5 of on-hit maneuver, difference of 6.4 per SD.
* For simplicity's sake, assume half of SDs (rounded up) are used on Ripostes, and other half (rounded down) are on-hit maneuvers.
* For simplicity's sake, assume recovery of 1 SD w/ Relentless between rests (so 3 more SDs/day).
And for good measure, three types of Paladins, w/ same weapon, vs. same ACs, also 30-round combat days:
Paladin of Devotion
Lv. 11 (16 CHA): 18*2*(.6*17.83 + .05*30.67) + 12*2*(.75*17.83 + .05*30.67) + 175.5 = 973.6
Lv. 15 (16 CHA): 18*2*(.6*17.83 + .05*30.67) + 12*2*(.75*17.83 + .05*30.67) + 229.5 = 1,027.6
Lv. 19 (20 CHA): 18*2*(.6*17.83 + .05*30.67) + 12*2*(.85*17.83 + .05*30.67) + 310.5 = 1,151.4
Lv. 20 (20 CHA): 18*2*(.6*17.83 + .05*30.67) + 12*2*(.85*17.83 + .05*30.67) + 310.5 = 1,151.4 (+ Holy Nimbus vs. horde)
* All spell slots on Divine Smite
* All Channel Divinity (3/day) on Sacred Weapon. 12 rounds (3 4 round fights).
Paladin of Vengeance
Lv. 11: 18*2*(.6*17.83 + .05*30.67) + 12*2*(.78*17.83 + .0975*30.67) + 175.5 = 1,021.4
Lv. 15: 18*2*(.6*17.83 + .05*30.67) + 12*2*(.78*17.83 + .0975*30.67) + 229.5 = 1,075.4 (+ Soul of Vengeance)
Lv. 19: 18*2*(.6*17.83 + .05*30.67) + 12*2*(.78*17.83 + .0975*30.67) + 310.5 = 1,156.4 (+ Soul of Vengeance)
Lv. 20: 18*2*(.6*17.83 + .05*30.67) + 12*2*(.78*17.83 + .0975*30.67) + 310.5 = 1,156.4 (+ Soul of Vengeance, + Avenging Angel advantage vs. horde)
* All spell slots on Divine Smite
* All Channel Divinty (3/day) on Vow of Enmity. 12 rounds (3 4-round fights).
Oathbreaker Paladin
Lv. 11 (16 CHA): 30*2*(.6*20.83 + .05*33.67) + 175.5 = 1,026.4
Lv. 15 (16 CHA): 30*2*(.6*20.83 + .05*33.67) + 229.5 = 1,080.4
Lv. 19 (20 CHA): 30*2*(.6*22.83 + .05*35.67) + 310.5 = 1,239.4
Lv. 20 (20 CHA): 30*2*(.6*22.83 + .05*35.67) + 310.5 = 1,239.4 (+ capstone reaction ability)
* All spell slots on Divine Smite
* Moving parts including any controlled undead from Channel Divinity.