Is “Lord Chunshen's actual performance when rescuing Zhao was different.” true?

The official histories record that when Lord Chunshen led troops to rescue Zhao, he indeed fought with the Qin army and inflicted heavy casualties, as seen in the Records of the Grand Historian, Biography of Bai Qi and Wang Jian: "Chu sent Lord Chunshen and Lord Xinling of Wei to lead several hundred thousand troops to attack the Qin army, and the Qin army suffered many losses." The novel rewrites this as cowardice and reluctance to fight, stationing troops at Wuguan to watch, and only after the Qin army retreated did he directly return with his troops, as seen in Chronicles of the Eastern Zhou Kingdoms, Chapter 99: "Lord Chunshen also stationed his troops at Wuguan, watching without advancing" and Chapter 100: "Lord Chunshen, hearing that the Qin army had already dispersed, also returned with his troops."