It seems to me unlikely that women don’t care at all about making their partners happy, and I’d argue that the google search is approximately the same level of evidence as the existence of the “female dating coach” in the original post.
You’re definitely right on housework not being the same thing as investing in a relationship. That was my bad.
It feels like women do an equal amount of the work in emotional support / close connection / engagement / etc realms (at least once already in a relationship), but a cursory search on JSTOR hasn’t turned up anything useful as far as proof, and I guess it’s possible that I’ve just been very lucky in relationships so far.
This is a much more elegant way of making the criticism I was vaguely gesturing at in my comment. It’s not an objectively bad post, but I agree it feels something like unwelcoming