No, not necessarily, but the jobs that people say deserve the most (eg scientists) require a high level of education, as do the majority of roles that are considered high status.
I'm not at all against education - I worked in the sector for most of my career. I don't think that education should be about getting a job, either. There is far more to it than that. I just think that there should be a reset of the value of what people bring to the workplace. If someone wants an indoor role, with comfortable surroundings and sociable hours then yes - train to do something that will bring that about, but should it necessarily attract an automatic upgrade in salary on top of that? Someone willing to (properly) look after the old, sick or disabled, for instance, might not need a degree, but they work round the clock and do things that I would find difficult to do well, although I am very well qualified on paper.
I think the reset will happen with AI whether we like it or not, really. Roles that require a human presence, maybe security guards, or hairdressers, could end up being more highly valued than graphic designers or architects, whose skills can be replicated by computers. They may be the wrong choices of jobs to use as examples, but I definitely believe that in even ten years' time the workplace will look very different from today.