And if you check the requirements using something deterministic (last order was within last 2 weeks, customer has a high loyalty points score, they're subscribed to some premium service) then why do you need an agent at all? The real point of the agent when it comes to something like that is reducing churn by making the process harder. The LLM isn't working for you, just like the human agent isn't working for you.
I do think this sort of thing could be good for digging up information though, as technical support before you get to a technician, could be good. Probably less aggravating than "Before we connect you, please turn on and off the rout-... you pressed 1, that is an invalid option. Before we connect you, please turn..."