Leibidig, two things; one is that rabbi soloveitchik’s stated opinions here are that fundamentally it’s somehow unfair to girls not to be given the same education as boys, [disclaimer: that is not what he said per his quote above.] which is what this thread is about.
The beis yaakov movement understood that bedieved, torah needs to be taught now, but within the confines of halacha – i.e., tanach yes, gemara no, because that’s the halacha.
Laundry is different not because times change, but because it’s not the laundry chazal were talking about. It’s pressing buttons. Here, girls still produce tiflus with their learning, which is an affront to Torah, no matter what other problems they may have at the same time.
re comment: only commenting because you claim to be quoting as opposed to giving your own pshat