I don't buy this explanation. I can easily get roasted chicken, honey glazed pork, salmon, bbq ribs and a ton of other 'complex' dishes delivered with no fuss and for similar prices. Pizza, thai etc are popular because, well, people enjoy the food. There is nothing radically different about doing other cuisines, except messing up logistics or not meeting consumer demand...
The winners are going to be giants like Amazon that can absorb zero or negative real margins and can play a very long game until vehicle improvements (automation + electric) cuts into the delivery cost (and or they'll just find a way to bundle in other products/services to produce a broader profit).
Even Amazon gave up on paying me to deliver groceries to my home. They would have a guy in a deli in New Jersey (~200 miles away) slice ham and turkey cold cuts in the middle of the night, and deliver via USPS by 7:30AM. Truly a marvel of modern logistics, except they couldn't figure out how to not put big cans of olive oil on top of eggs or bread.
We probably got an average of $50/week in refunds.