In the last few decades, more modern box houses have come to Los Angeles:

During the 20th century, Los Angeles home styles were as eclectic as its populace. Wood-shingled Craftsmans mingled with white stucco bungalows. Depending on the neighborhood, you might get an ornate Victorian, chic Midcentury Modern or even a Mayan Revival-style showplace — something that begs you to look at it, admire it. A house that invites an opinion, good or bad.
But although the box houses’ bulk draws attention, its design is basic. They’re like an iPhone: simple and smooth. Clean lines, glass walls, simple shades of white or black. Critics see them as soulless and inert.
Modern homes don’t have time or money for a turret, overhanging eave or stained-glass windows. Sloped ceilings, skylights and other superfluous accents take away from the bottom line — the largest amount of square footage possible for the cheapest possible construction price…
When such homes started popping up in the wake of the housing crash in 2008, some assumed the trend would be temporary. But demand for the style still rages on today…
The “bento boxes of today,” as Parsons calls them, are shiny, sleek and sexy, but he said they’ll be tomorrow’s tear-downs.
The article suggests these architectural styles are cyclical: builders, developers, real estate agents, municipalities, buyers, and others are involved in changing architectural styles. So, then the question here is whether these homes are here to stay or whether another style will emerge and the modern box home will fade?
If I had to guess, I would suggest the modern box home will hang on as a consistent but small presence in the LA housing market for several reasons. They are simple and relatively cheap to build. They offer a lot of space. In uncertain economic times and pricey housing markets, these are hard factors to overlook.
There is also a segment of the market that finds them attractive. The modernist home has been around for decades. Most Americans might not choose it as their preferred style but some would. In a large metropolitan region like Los Angeles, some will prefer this design.
Given the unique housing market of Los Angeles, perhaps the real question is whether modern homes are catching on elsewhere in the United States. When housing costs are not as high, is the modernist house one people want? In my area, several such homes come to mind but they are rare.