Joseph, you said women should stay home like Sarah Imeini. You didn’t say women should not go out much.
The fact is, today the most frum women, including Rebbetzins of big gedolim, go out shopping, to simchos, work, etc. “Much” is a relative term.
Every frum women should go out when she needs to go out, regardless if the greatest posek ever “Joseph in the YWN Coffeeroom” approves of her going out or not.