I don't know what call center you worked in but when I did it, no one cared about any of that, even if they did most customers didn't have the technical acumen to understand what they could have done to avoid the call. They don't want to know how to solve it themselves, they see solving problems as your responsibility since they paid for the product or service and you are it's support. Business customers are the only exception.
Matter of fact, attempting to educate customers instead of telling them what needs to be done to fix the problem can backfire because regardless of your approach it could come off as either condescending or blaming them for calling in.
Self included, I went to my bank a while back to do something and the guy told me I could have done it online and how,instead of just doing it and letting me leave asap. Yeah, I don't give a shit what i could have done online, i already spent too much time fighting their bullshit and I just needed the problem gone asap because it was an urgent situation. At least solve the problem first before you try to educate me.
Call centers have tiers, I do think LLMs can do tier-1 work because tier-1's basically work of a script/flow and LLM would just pretend to listen and react according to the script. Tier-2 and above however is a terrible fit for LLMs.