I'd venture that you are heavily discounting Bryson's recovery skills because he made it look far easier than it actually is. No other player recovered like he did this week, even from good lies.
It's interesting to look at the strokes gained statistics from the tournament:
https://www.usopen.com/2024/player-stats.html?tab=strokesGainedFor the 4th round only, Bryson had:
0.12 gained off the tee (distance compensating for missing fairways).
-0.06 gained on approaches
-0.59 gained putting
1.32 gained around the green - the only part of his game that stood out on Sunday
For all four rounds, Bryson gained between 0.96 (approaches) and 1.17 (putting) in the four phases.
That's a pretty nice all-around performance, although his play around the greens really made the difference on Sunday.
By comparison, McIlroy had (for full tournament/4th round):
Tee: 1.78 / 1.61
Approaches: 0.41 / -1.67
Around the green: 1.21 / 0.63
Putting: 0.64 / 2.21
Chamblee was hammering on about McIlroy's irons, and going at least by those stats he's not wrong. McIlroy's putting gets a lot of scrutiny, but for the week it was good especially on Sunday even with the two misses. Much has been made that the putts on 16 and 18 were the only ones inside of five feet he missed all week. It would be easy to create a mashup of every player in the field missing at least one putt from lengths similar to the putts on 16 and 18 during the week. The focus will understandably be on those putts, but if you look at the full 72 holes the main reason McIlroy was even in that position was because of his putting particularly on Sunday. Overall it was his irons that let him down on Sunday - 4, 5 (though that was a tough break), 7, 8, 15, 17...