It’s not about “lost productivity”. It’s about what you enjoy doing. If you don’t enjoy shopping for food, it’s the same as if it were part of your job.
There are only two logical situations:
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You dislike shopping - you should go to one store maximum because your time is valuable. Get everything else delivered online. Do something you like in your free time.
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You like shopping - you should work for a shopping delivery service in your spare time. You can make hundreds of extra dollars and get your own groceries at the same time
Getting value for time is productivity. Up to you if value is in money or enjoyment. Your “logic” seems extreme. I’d have to have some irrational hatred for shopping before I’d spend even more on groceries to get someone else to do it. Similarly, I’d have to have some pretty strong feelings to love it so much I’d take a minimum wage job to do it in my spare time. I think the average person is going to fall firmly in the “if shopping for an extra 30 minutes saves me 20 dollars, I’m doing it” camp.
