Actually, because I am retired and my sweet bride has severe arthritis, I am the chief cook and bottle washer. I do the shopping for groceries, and we are empty nest-es.
Years ago (when I held down multiple responsibilities) my wife and I did those things you listed, together.
The proverbs wife is not just a trusted wife as you put it. That demeans all that she does for the family. Because her husband is "known in the gates," that is perhaps a ruler or judge in the city, her reputation, skill, and cunning brought more to the family than her merely being trusted.
It is reasonable to also consider that because the husband's position in the community is indicated, that the family was not divided, but the husband spoke for the home in the political realm and that the wife left such discussion out of her public sphere of interaction.
This is especially important for a wise and honored wife of a pastor, deacon, elder, or any man in church who has "control over his own house."