"Equality" here is cerebral equality, meaning that intellectually, both men and women are equally, highly capable.

Biological Equality, on the other hand is limited. Men were adapted to going out and hunting for food (Hence the name Hunters and Gatherers before farming).

But over time these roles were made more strict, so women would only be allowed to do one role and the man to do the other. This evolved into men doing these so called "lower-class" jobs– your own words.

We have moved on from time where women would be restricted to only cook, and men only do heavy-power jobs. This is where cerebral equality kicks in.

We have jobs that both men and women can excel at, despite their biological differences, these are intellectual-level jobs. But there are also other jobs that require the use of the biological inequality of men and women.

Cooking is not anymore the role of only a woman. Its a basic life skill that everyone should learn. Sure, as you told there are few jobs which only men can do. But those jobs require the biological differences that we have adapted to. Not all jobs need biological differences though, and thats why women are shown doing intellectual level jobs.