Is “His subordinate ambushed and shot Sun Jian at Xianshan” true?

attested in history

According to Records of the Three Kingdoms, Book of Wu, Biography of Sun Polu, when Sun Jian attacked Huang Zu and pursued him by night to Xianshan, he was killed by arrows from an ambush set by Huang Zu's subordinate Lü Gong.

Huang Zu

In official history, he was the general under Liu Biao who held Xiakou and shot Sun Jian.

Other claims about Huang Zu