>> The Apples and Oranges idiom refers to comparing things on axis that don't make sense.
Feels like an arbitrary distinction to what I said. "Efficiency" is an axis that doesn't make sense when the scale and scope are massively different, for all the reasons mentioned above.
>> We know that's a bad idea because the experiment has been run
So many issues with this. First, your claim is "Efficiency is about benefit per dollar, and governments are really really bad a(t) that"; you make a claim about all governments. Cherry picking data points is not helping that claim; you have to show that government is never, and can never, be more efficient than private industry. I'm pointing out why even trying to make the comparison at national scale is difficult. Second, where has this example occurred? Again, I think your choice of data points is telling.
Food is actually a super interesting example where, again, the scale of the operation doesn't really make for direct comparison. Grocery stores are obviously the way consumers get access to food, but their stock happens via multiple wholesale distributors, who themselves are middle men between multiple suppliers. That is, while Ralphs/Kroger/King Soupers/etc may be as near a nationwide grocery store in the US as I'm aware of, they're stocked by Sysco, US Foods, etc (who are carrying multiple, sometimes even competing, brands), as well as sometimes specific distributors for a large enough company (Coke may have their own, for instance), and who transport product between warehouses using separate longhaul trucking companies, etc etc. There is a LOT of inefficiency involved in that, a lot of middle men collecting along the way, and as we saw during the pandemic, a lot of places the supply chain can break down. And you're comparing it to...what? Russia during peak communism? The closest the US has had is when the government got involved during WWII with rationing, and that actually worked really well, given the shortages we had.
Let's try going the other way, and scaling government down. I too will cherry pick some data - municipal broadband. Oh, wow, now we have something way more efficient than 'the free market', even without tax subsidies, in every market it exists in; so much so that the only way private industry can compete is via legislation to prevent municipal broadband from expanding.