Shouldn't Shin be able to convince Beerus to do anything he wants?

Hear me out, since if Shin does, Beerus also dies, couldn't Shin just say do that or I'm going to kill myself. For example, when Beerus was gonna destroy the Earth, couldn't he just have said I ain't leaving Earth, so if you destroy the Earth, you also kill me.(I know the picture of them hugging makes my post look like a jokes but I couldn't find any other pictures that weren't fan made of Shin and Beerus)

Hear me out, since if Shin does, Beerus also dies, couldn't Shin just say do that or I'm going to kill myself. For example, when Beerus was gonna destroy the Earth, couldn't he just have said I ain't leaving Earth, so if you destroy the Earth, you also kill me.(I know the picture of them hugging makes my post look like a jokes but I couldn't find any other pictures that weren't fan made of Shin and Beerus)