It might actually be helpful in that process. Many people report talking to a loved one in a dream and getting to say something to them and that helped move on for example.
idk, an LLM of a deceased loved one would be the cruelest thing possible in my mind. If I imagine my wife passing away and then having an LLM trained to resembler her I could see myself coming back to it all the time. Knowing it's not her but just close enough to keep me coming back wishing it was sounds like misery forever.
Do you not think this is a bit different than keeping a catalogue of their personality that you can access at any time? Would this be fair to a new partner - "Sorry honey, I didn't mean to cheat on you with my dead wife?"