I feel like that's overly simplistic to a point where it's wrong.

The first wave feminism dealt (pretty much) only with civic issues. (right to vote, right to hold money etc.)

Second wave is where it gets a little messy at the extremes. Most of it was just "let us get paid work under ewual circumstances if we want it". What you mention (the de facto degradation of work women had been doing for centuries) was only an extreme faction of the second wave.

As a side note third wave is where it got all wrong. Both first and second wave had some decent and valid points, the third wave does not.