Okay, so without advantage, the new feat is stronger, and with advantage, the old feat is stronger. Guess that makes sense for what I would expect. Still good to see the numbers.
One thing you are overlooking is is the new Great Weapon Master feat also gives you +1 strength. That lets the new fighter not need to spend as many ability score increases upping his strength. A fighter can start with a 17 strength and by 8th level they can have Great Weapon Master, Polearm Master, and Charger as well as a 20 Strength.
Just adding Charger adds an average 4.5 damage a round. That puts your new fighter's damage at 6.9 more than the old without advantage, and only 2.53 points behind if they have advantage.
I think people are seriously underestimating how powerful it is that all of the feats now give a stat boost. A new fighter can basically take twice as many feats as an old one. I was playing around and built a level 20 fighter and it is ridiculous how many feats a fighter can take, without sacrificing their ability scores.
I started with 17 STR, 12 DEX, 15 CON, 8 INT, 14 WIS, 8 Cha. At level 20 I had 21 STR, 14 DEX, 16 CON, 8 INT, 15 WIS, 8 Cha with Great Weapon Master, Polearm Master, Charger, Heavy Armor Master, Mage Slayer, Sentinel, and Resilient (Wisdom) and Epic Boon of Irresistible Offense.
The new fighter is Amazing!
Edit: I was just looking over the mastery properties in a little more detail, looking at different possible synergies between them. Correct me if I am wrong here, but a level 18 fighter can make up to
15 ATTACKS in one round, in every thing line up! All it requires is have Polearm Master and two weapon fighting feats.
Attack 1: Any one handed weapon.
Attack 2: offhand attack with nick for free and sheath both weapons
Attack 3: Draw Halberd and attack.
Attack 4: Halberd free attack with cleave.
Attack 5: Halberd.
Attack 6: Halberd.
Attacks 7-12: action surge to repeat 1-6.
Attack 13: bonus action Halberd attack.
Attack 14: Reaction opportunity attack.
Attack 15: Haste Spell.
Yep, Fighters are AWESOME!