I don't get the argument either. Perhaps if you can't walk very far? If I put half an hour into walking I can easily buy all the essentials, such as a crash cymbal, oil of violets, steel nibs for my dip pen, a CD player, and a teapot.
I live in a metropolitan area and can walk to many stores within a 30 minute radius. (First supermarket is less than 5 minutes away).
But there is the added complication of weight. I can’t buy food for a week without driving there. Nor can I go and buy a TV by just walking to the hardware store.
30 minutes is on the longer side, but I think part of the point of walkable grocery runs is that you don't buy a week's worth of food like you do in a car. When I lived in Paris, I'd happily pop out to buy whatever I needed for a single meal. I had so many grocery stores within a 5-minute walk. Now that I'm in SF, I buy for the week (on my bike with panier bags) because the grocery stores I like are far from my home.
You definitely need infrastructure for that. Biking infrastructure in North American cities is.. not great. Definitely viable in some of the EU ones though.
For those to be effective, you do need good walking infrastructure.
I'd grab one of those except for the fact that I don't have a sidewalk connecting me to the grocery store. Totes end up working better for me as a result.