So I guess the coders get replaced first after all? Sounds like a more natural progression. There's more of them and it's easier/faster to tell if their work is getting done. And they don't need any "empathy" while writing their code (or so they think at least, is what seems to explain a lot of UI decisions...)
Realistically if there's no more need for software engineers then I think what follows next is that most forms of labor are being replaced by machines. There's already videos of machines hooked up to LLMs doing incredible things, so it's not much of a leap to go from this to machines taking orders, making food, working assembly line jobs, driving, etc.
[1] I'm basing this off the assumption that other IC jobs and low-level management jobs don't have a significantly greater cognitive demand than software engineering. I could be wrong.