80% of being a good security engineer is knowing the big picture, all the parts and how they work. The correlation that LLM produces has no value if its not actionable. You are the one that determines the weights, values, and features that are important. I'd be very curious of how you currently account for scheduled outages, unscheduled outages, new deployments, upgrades of existing systems, spinning instances up and down for testing, laptop device swap-outs, traffic in different silos. How are you baselining normal communications and session timing between services or across protocols? If you are in the cloud is baselining done by service HTTP, DNS, DB, etc? I could see different weights being constructed to represent defense-in-depth but this would seem to be a constant amount of work while also investigating or feeding true/false positives back into the system.

Entry-level cybersecurity isn't a thing which is why it isn't working out as typically you need prior dev, ops, devops, sre, sysadmin, etc existing experience. The talent shortage is because you can't do an undergrad in cybersecurity and somehow pick-up the prior operational knowledge that develops your skills for understanding and troubleshooting how systems, networks, and applications all function together. Cybersecurity as it stands, and you mention, is in my experiences best as a focus off-of computer science. I mean even the CISSP requires working experience in the field.

The one item I think you are overlooking is that you have the experience in how everything works together which makes a tool like ChatGPT or some other analyzer where you can ask the "right" questions a useful tool because you have the mental mapping and models through experience of the questions to ask. So while a security analyst job might go away you are back at the original problem of developing security engineers that know the architecture, flows, daily expectations, etc and having a LLM buddy is not going to turn a security analyst directly into a cybersecurity engineer over night.