If he crossed paths with Zhu Yuquan and beat him up every single time, Zhu Yuquan would grow utterly terrified of him, constantly living in anxiety and dread. That would surely force him to speed up his search for the forbidden grounds of the Full Moon Sect and try to finish his mission and leave the sect all the sooner.
As the saying goes, panic breeds mistakes, and Zhu Yuquan was very likely to slip up as a result. Therefore, as long as they kept a close eye on his upcoming movements, they would have a chance to catch him red-handed!
By then, the Full Moon Sect would have every right to deal with the Luoshu Sword Sect, and no one would be able to say a word against them.
Chapter 861