Is “Was Chen Wu killed by Pang De during the Battle of Hefei because his sleeve was caught on a tree branch?” true?

The official history, Records of the Three Kingdoms, in the biography of Cheng, Huang, Han, Jiang, Zhou, Chen, Dong, Gan, Ling, Xu, Pan, Ding, only records that Chen Wu 'in the twentieth year of Jian'an, followed the attack on Hefei, fought desperately and died in battle,' without mentioning the specific cause of death or his opponent. Romance of the Three Kingdoms, in Chapter 68, fictionalizes that in the chaos of battle, 'Pang De chased him to the valley mouth, where the woods were dense; Chen Wu wanted to turn back to fight, but a tree caught his sleeve, preventing him from facing the enemy, and he was killed by Pang De,' giving his death a highly dramatic account.