Nothing accurate apparently, since "the first appearance of the 'Northern Army' in historical records of the Han Dynasty was after the death of Emperor Hui" (https://www.lsdlyj.com.cn/CN/abstract/abstract46386.shtml), and Emperor Hui died in 188 BC, while Han Xin died around 8 years earlier, in 196 BC.
Being generous, maybe because he won many victories for the Emperor, maintaining the "Mandate of Heaven" (many loses could be interpreted as illegitimacy). But I agree that this, and many other things you mentioned, could be improved. I could eventually do for Liu Bang and Wei Qing what I did here for Han Xin: