That a lot of companies will try. And LLM could, probably, replace some barebones-type customer service ("have you tried to turn it off and then back on again?").
I guess it depends on a lot of things, like how complex the issue or situation is. Or what kind of permissions are granted to the LLM (would it be allowed to order parts for you? Could it send certain parts free? Could it issue credits?). On top of that is liability. What happens with the LLM does something outside the normal process? People are frustrated enough at customer service, and many companies either design their customer service trees to be terrible or they just don't care (as much as I like Samsung products, their customer service is generally pretty bad).
Not to mention what this would look like for the general public in terms of jobs. Customer service is a great entry-level job for a lot of people; it's not always glamorous but it does pay the bills and lets people get a foot in the door at some companies. More and more competition for jobs is great for employers but not so much for job seekers.
I maintain that no LLM should be "let loose"; in nearly all circumstances it should merely be a tool to a human doing the work. We already have accountability problems in our society; this will make it worse.
And I say this as someone that likes and uses LLMs regularly.