Is “When Liu Bei surrounded Chengdu, Jian Yong entered the city as an envoy to persuade Liu Zhang to surrender.” true?

When Liu Bei surrounded Chengdu, Jian Yong entered the city as an envoy to persuade Liu Zhang to surrender. The official history records that Jian Yong and Liu Zhang rode out of the city together in the same carriage to surrender. The novel completely retains this historical detail and adds a description of Jian Yong's arrogant demeanor in the city, acting as if no one else was present.