If Zuo Lengchan decided to kill Yu Canghai personally, would evidence matter?
No, it wouldn't!
But it would!
On one hand, it wouldn't because once Zuo Lengchan made a decision, regardless of the solidity of the evidence, he could directly make a move against Yu. After all, his fists were stronger than Yu's!
On the other hand, it would matter too. If he decided to act, he needed a solid reason to win people over, so as not to severely damage his reputation as the leader of the Five Peaks after the fact.
After all, Zuo Lengchan is different from Yue Buqun.
Yue Buqun can play the victim by sacrificing Linghu Chong, and with Lin Pingzhi listing Yu Canghai's monstrous acts, he had more than enough reason to take action.
As 'The Gentleman Sword'.
Avenging his disciple combined with eradicating a menace from the Martial World was more than sufficient reason to take down Yu Canghai!