My mother (now in her 80s) wouldn't DREAM of going to the grocery store unless she was properly 'dressed'. That was definitely the way in the south, at least in our little town. When I was a kid, the Great Debate was whether it would be appropriate to go shopping wearing slacks (and by that I mean 'dress pants', not jeans, not sloppy/comfy sweatpants) instead of a dress.
Most older (my age or older) women I see in Tesco, Morrisons, M&S, take far more care about what they wear than I do. But then again, never did go for anything but comfort. Years back DH begged me to buy some 'decent' clothes because he thought I looked too sloppy when we went to the store. He even threatened to burn my favorite sweat pants!