Is “Su Qin and Zhang Yi were both disciples of Guiguzi, and Su Qin once used a scheme to provoke Zhang Yi into going to Qin.” true?

The Records of the Grand Historian, Biography of Su Qin, records that the two studied under the same master, Guiguzi; however, the Mawangdui silk manuscript Strategies of the Warring States, unearthed in 1973, and the Intrigues of the Warring States, upon examination, show that Su Qin was actually active several decades later than Zhang Yi, and his main rival was Gongsun Yan, not Zhang Yi. Sima Qian adopted the fictional tales of the Warring States strategists. The original text states: 「苏秦恐秦兵之至赵也，乃激怒张仪，入之于秦。」Records of the Grand Historian, Biography of Su Qin.