>Soft-story failure was responsible for nearly half of all homes that became uninhabitable in California's Loma Prieta earthquake of 1989 and was projected to cause severe damage and possible destruction of 160,000 homes in the event of a more significant earthquake in the San Francisco Bay Area
There are special warnings about soft-story buildings for home buyers, apartment renters, etc. in California. There are not such warnings for high-rises.
I don't know much about Turkey's buildings, but if there were less than 5 stories then they were all low-rise too. And I doubt that they would meet California code if they collapsed in a 7.8 earthquake.
The reason buildings don’t collapse under shear (think side to side force like would be applied by strong wind or an earth quake) is in part because the interior walls offer shear strength. If you have too few interior walls, and you haven’t compensated via other mechanisms like stronger sheathing, then you risk catastrophic collapse. This is a risk in old construction where walls may have been removed or in cases where building weren’t constructed to appropriate standards. In Turkey, this was particularly bad because the use of concrete in floors and roofs results in more shear force.
The tl;dr is that this isn’t a low-rise vs. high-rise thing. It’s mostly an old vs. new thing.