But if you're actually trying to provide good customer service because people are paying you for it any paying per case then you wouldn't dare put a phone menu or AI chat bot in-between them and the human. The person handles all the interaction with the client and then uses AI where it's useful to speed up the actual work.
The thing is, you aren't contacting customer services because everything is going well, you are contacting them because you have a problem.
The last thing you need is to be gaslit by an AI.
The worst ones are the ones where you don't realise right away you aren't talking to a person, you get that initial hope that you've actually gotten through to someone who can help you (and really quickly too) only to have it dawn on you that you are talking to a ChatGPT wrapper who can't help you at all.