When I went shopping with my mother, it was in Manhattan, and not necessarily before the days of supermarkets, but back when there were still plenty of specialty stores for everything, especially in big cities. We walked down the block, and stopped at each store, instead of going into one big store, and stopping in different areas. We went to the green-grocer, the baker, the butcher, the stationery, the 5-&-dime, the dry cleaner’s, and other places as needed, like the shoe repair, the tailor, the hardware store. Everything was within about three blocks.
Usually, we went to the park first, then stopped at the stores on the way back home.
I’m trying to remember if we saw many men in the stores, or if it was mostly women. I suspect it was mostly women, although, there would have been men who drove buses or cabs, worked second or third shift, did custodial work with hours that were more like 10-6 or 11-7 instead of 9-5, as well as men in management positions who could get away for an hour to do errands.
I don’t think it was taboo for men. My father went to the store on occasion-- and sometimes even took me. He was a professor, so there were days he wasn’t teaching, and was home: spring break, winter break, what have you, and he might run errands then, and I remember a couple of occasions when my mother was sick enough that he stayed home-- usually, I went to my aunt when my mother wasn’t feeling well (which is where I went most afternoons, because my mother was in school part-time), but there were odd days here and there.
I very much doubt it was taboo. Of course, we were in New York City. It could have been taboo in more conservative areas.