Is “He captured and executed the famous scholar Mi Heng at Jiangxia” true?

The 'Book of the Later Han: Biography of Mi Heng' and the 'Dianlue' record that the famous scholar Mi Heng, known for his arrogance, repeatedly insulted Huang Zu. Huang Zu, being hot-tempered and enraged, ordered him to be executed in Jiangxia. (Original text: 「人报黄祖斩了祢衡，表问其故。对曰：“黄祖与祢衡共饮，皆醉。祖问衡曰：‘君在许都有何人物？’衡曰：‘大儿孔文举，小儿杨德祖，除此二人，别无人物。’祖曰：‘似我何如？’衡曰：‘汝似庙中之神，虽受祭祀，恨无灵验！’祖大怒曰：‘汝以我为土木偶人耶！’遂斩之。衡至死骂不绝口。”刘表闻衡死，亦嗟呀不已，令葬于鹦鹉洲边。后人有诗叹曰：”——Source: data/raw/sanguo-yanyi/Chapter 023.txt)