I mean c-suite jobs (particularly CEO), are usually primarily about information coordination and decision-making (company steering). That's exactly what AI has been designed to do for decades (make decisions based on inputs and rulesets). The recent advancements mean they can train off real CEO decisions. The meetings and negotiation part of being a c-suite (the human-facing stuff) might be the hardest part of the job for AI to replicate.

All C suite positions are managing people and projects planning. They set initiatives and metrics to measure success for those initiatives

A CEO gives an overall direction for the company and gives the other ELT members their objectives, such as giving the CFO a goal of limiting spending or a CIO to build a user capacity within a specific budget and with X uptime.

In this age of titles over responsibility, a C suite position can cover very specific things, like Chief Creative Officer or Chief Customer Officer, so a comprehensive list is difficult. But the key thing is that almost all white collar jobs that look like a pyramid, with the decisions starting at the top that turns into work as it makes it's way down the pyramid.

The senior VPs and directors under those C levels then come up with a plan for reaching those objectives and relay that plan to the C level for coordination and setting expense expectations. There is a series of adjustments or an approval which then starts the project. Project scope determines how long it will take and how much it will take using a set amount of bodies to work the project.

Hopefully this helps explain how C levels interface with the rest of the company.

Make a throwaway Twitter accounts for single customer service issue. I've done it, it's not hard, especially when dealing with any company large enough to have a social media team. They'll be monitoring relevant hashtags to internally escalate customer service issues in order to bring them back in-house, and off a public forum.