The Zizhi Tongjian indicated that the son of Li Zhe left nominally in charge of Chang'an was Li Chongfu the Prince of Tangchang. See Zizhi Tongjian, vol. 203. However, both the Old Book of Tang and the New Book of Tang indicated that it was Li Chongzhao who was left in charge, and as Li Chongzhao's position was higher than Li Chongfu's, it appeared more likely that Li Chongzhao was in charge. See Old Book of Tang, vol. 84, and New Book of Tang, vol. 180. The Old Book of Tang did, elsewhere, indicate that Li Chongfu, not Li Chongzhao, was nominally in charge. See Old Book of Tang, vol. 5
The Zizhi Tongjian asserted that Li Chongrun was forced to commit suicide, but the Old Book of Tang and the New Book of Tang asserted in his biographies that he was caned to death on Wu Zetian's orders. Compare Zizhi Tongjian, vol. 207, with Old Book of Tang, vol. 86 and New Book of Tang, vol. 81. The Old Book of Tang, meanwhile, inconsistently asserted in the chronicles of Wu Zetian's reign that he was forced to commit suicide. See Old Book of Tang, vol. 6. The chronicles of Wu Zetian's reign in the New Book of Tang merely stated that the three of them "were killed." See New Book of Tang, vol. 4
However, some modern historians, based on the text on Li Xianhui's tombstone (written after Emperor Zhongzong was restored to the throne in 705), which suggested that she died the day after her brother and her husband and that she was pregnant at death, and the fact that the skeleton believed to be hers had a small pelvis, have proposed the theory that she was not ordered to commit suicide, but had, in grief over her brother's and husband's deaths, had either a miscarriage or a difficult birth and died from that. See, e.g., illustrations preceding the Bo Yang Edition of the Zizhi Tongjian, vol. 49. It may be notable that the Chinese Wikipedia article for Li Xianhui gave the text for her tombstone, but did not give an external link corroborating the text in the article.