If you have cheap, abundant land it makes no sense to build densely.
Look at Houston with ~zero zoning laws and ~infinite sprawl.
"A neighborhood" in a high-sprawl suburb wouldn't be able to support local mixed use amenities because even singular "neighborhoods" are gigantic enough to warrant driving across them. Once you're in the car, why would you go to the place 2min down the road instead of the far superior place 8min down the road.
Ask well-paid people who keep renting apartments in Manhattan, or in downtown SF, to say nothing of Tokyo or Seoul.
Much easier to do with self driving cars though. Remember the promise? “Take a nap in your car and arrive at your destination” or “be productive on your commute”.
In fact developers did do this, and "the market" responded by creating regulations that prevent it. Which are obviously causing their own set of serious problems.
Ethnic food has thoroughly suburbanized, as has shopping.
But, yes. The sort of ... enduring narrative is that rural areas and suburbs have chain restaurants, diners, and fast food, because immigrants go to cities and open restaurants from their native cuisine, and that suburbanites think black pepper is spicy and sushi is gross.
In actuality I think immigrants are increasingly (a) enamored of the American big-car / big-house lifestyle (makes sense, they choose to come here) and (b) bought-in to the notion that cities are dangerous, with bad schools. So immigrants rent a place in a strip mall near the suburban school district some other immigrant said was good online and start restaurants there. Google maps exists, suburbanites think nothing of a 25 minute drive, so they ask around online after the best examples of a particular ethnic cuisine, and they drive there.
In Maryland, where I live, it's certainly true that the highly-regarded Chinese and Korean dining is in suburbs. Latin Americans, specifically Guatemalans and Salvadorans, are the only immigrant group moving in to Baltimore (where I live) with any sort of enthusiasm.
Shopping for large items, or large quantities, definitely tends to use suburban land because it's cheaper, and a shopping center uses a lot of it. The cost for the customers is the time to drive there.
I live in Baltimore, and if you ask after Chinese, Korean, Indian, or Vietnamese, without specifying city limits, you will be directed to a place in the suburbs with a parking lot (I think this is essentially true of DC as well).
These are incredibly common in all of the old world.
People writing in other comments about cost of roads, new and repair - it all will change with autonomous road paving hardware.
This will certainly not happen. The reason these places are culture and food deserts is precisely because people drive everywhere and the driving infrastructure requires so much space that it is impossible to have density at the levels needed to support culture.