In all honesty... Walmart offers exactly what you're talking about[1]. Order your groceries online, pick them up at their store. None of the fancy organic-attitude stuff you talked about, either.
Good luck finding a Walmart close enough to you if you live in New York City, Boston/Cambridge, Los Angeles, San Francisco, Seattle, or much of the SF Bay.
Hmm, I don't know about SF but I live in the Bay and there are at least five Walmarts within a short drive. Maybe SF real estate is too expensive in the city itself?
I get that the more money you have the less any one dollar matters and that anyone who lives in those areas certainly has the money to pay for the convenience of shopping locally but driving 30min to go shopping isn't really unreasonable.
Or most places in rural America. It isn't uncommon for folks to drive 30-60 minutes to their nearest cheap shopping center. Sometimes there is a store closer, but they tend to have limited selection and high prices, especially on things like laundry soap.
That said, if you are going there anyway, the store-pickup still seems like an attractive option. Part of the downfall of Walmart is the time spent in the store, searching out things, wading through isles of people, and waiting for the badly staffed registers to get you through the line, only to be checked for stealing on your way out. This is worse if you must bring children with you. One can easily save an hour of time just picking it up.
It's been a long time since I ordered something from Walmart for in store pickup, but it was a nightmare. Would have been much faster to locate the items myself and go through checkout.
[1] https://grocery.walmart.com