Is “Secret meeting with Li Shishi” true?

The novel depicts Yan Qing using Li Shishi to open the door to amnesty. Chapter 072 of "Water Margin" writes: "宋江、柴进居左，客席而坐，李师师右边，主位相陪。" Li Shishi indeed existed in Song dynasty notes, but in the three records of Song Jiang in the "History of Song", there is neither the person Yan Qing nor the matter of seeking amnesty through a famous courtesan; this is an embellishment of folk romance.