We can see that the key "alone" was added to the sentence about riding to Winterfell to keep the living alive, which is indeed true, but ignores the bigger picture, which is that Cersei literally told Daenerys and Tyrion that they can fuck right off with their battle against the undead -- she'll wait out their armies' decimation and take on the rest herself at King's Landing -- and that's when Jaime "pledged himself ... alone," in a sharp break from his sister for the first major time ever in Game of Thrones. The "impossible odds" against the Night King: that line tracks. The next, however, that he "escaped imprisonment" blatantly skips over that he wasn't a prisoner when he left Winterfell -- he was captured because of that choice. And he didn't escape, he was freed by his brother, Tyrion, and "saving the capital from destruction" would not be the log line of his mission. If anything, it was to reunite with Cersei yet again, with no greater calling other that to be by her side when King's Landing fell. That final line -- "Died protecting his Queen." -- is especially heartbreaking coming from Brienne with their long, entangled history.
Brienne would be the last person to undeservedly badmouth a dear friend and lover after their death, but completing her and Jaime's saga with these revisions to the Kingsguard book is disappointing, to say the least. In lieu of mentioning her own knighting -- wholly earned by Brienne, and a bona fide good deed by Jaime -- she pens a massaged version of Jaime's life. If her reaction to Jaime leaving Winterfell to be with Cersei after the two of them boinked wasn't already a major break from the Brienne we've come to know on Game of Thrones, this scene was one final wallop. Yes, their relationship has always been complicated, and yes, the show has gone through great lengths to paint the depths of their bond. But it would have been immensely more satisfying if she had sat down to start with her own page that said that Jaime Lannister knighted her Ser Brienne of Tarth, the first female knight, who would go onto become the Lord Commander of the Knightsguard of the new world.