Lin Mu had long since known that various clans and powers had ways to know whether their members died or not. They could even know if the member that died, just lost their body or even their Nascent soul was destroyed.
Depending on this, it made it easier for them to deal with the aftermath.
If just the body was destroyed and the cultivator survived due to their Nascent soul, the power backing them could find the Nascent soul and help them revive. After all, a Nascent soul might have power, but it didn't have much in terms of defense.
As such, it was important to find and secure it quickly.
But if both the body and the Nascent soul had been destroyed, it meant that the member was truly killed. In that case, the power backing them would instead focus on finding the killer and enact revenge.