Originally, a True Lake Realm independent cultivator wouldn't attract much attention from a big sect, as they already have plenty of True Lake Realm cultivators.
Recruiting such independent cultivators makes it difficult to cultivate their loyalty to the sect. It's better to nurture some young ones without any background; at least, they have stronger potential to grow and more easily develop a sense of belonging to the sect.
But Lu Ye's performance today certainly intrigued Lin Yue.
The most important point is that he's not just any independent cultivator, but one from the Unparalleled Continent. He's new to the Nine Provinces and doesn't fully understand the situation here, likely confused about his own future. If they recruit him now, it'll be easy to win his allegiance.
As for loyalty, it can be gradually cultivated later.
There's no need to inspect his background.