It can be entirely unpredictable.
Some users on here have described having their homes searched and items like computers, phones, etc. seized when their spouse or someone they shared the home with has CTB'ed.
Call logs, voicemails, email history between the person who CTB and others examined, although how they came to access such items is not made clear – did someone willingly offer them up or did law enforcement force them to be turned over through warrants, intimidation, etc.
https://sanctioned-suicide.net/threads/police-investigation-after-unassisted-suicide.22731/