Han Wuxin actually had ill intentions about Little White was well. He was not alone. The entire Han Family wanted it. After all, Little White was smart and it could become a Beast King. This kind of beast could only appear once in a lifetime even at the Central Plains.
That being said, Lu Li's shouts at the Mystic Fire City stopped the Han Family from doing anything. Big Families valued their reputation very much. To make a move against their helper was taboo. The Han Family would be frowned upon by the world if they really took Little White away from Lu Li.
What was more, Lu Li had saved Han Yue. With Han Yue, the Han Family could rise up again. Right now, they must remain stable. Once their reputation was mired, they could be destroyed by several other families to stop the Han Family from rising up.