Is “Wind and snow at the Mountain Temple” true?

The tragic story of Lin Chong going to Liangshan in the snow at night in the novel is highly artistically tensioned; Chapter 011 of "Water Margin" states: "Lin Chong said: 'It's a long story!' The two then went inside and sat down, and he told in detail the matter of the fire at the fodder yard." However, Lin Chong is a literary figure gradually shaped from "The Great Song's Xuanhe Legacy" to "Water Margin", and is not a historical figure.