Well maybe don't run the call center at all, and actually make things fixable yourself without interacting with a human/LLM.
Example: At least here in the US plenty of companies still require calling in to cancel. Include that by default as a user flow/feature (and we're getting better but many utility, gyms and other companies still require calls) and boom, you've gotten rid of probably 50+% of call volume in many places still requiring this.
But of course they want the best of both worlds as you describe. They want to inconvenience the hell out of you for things that are 100% able to be implemented as just regular user flows so they can get people to just drop it while also saving money on these flows with LLM's.