If you look at the data, I don't think structural and framing material has much if anything to do with fire deaths. Japan also has a high proportion of wooden framing, for single family homes about the same as the U.S. This is less so for multi-story, but if you look at the numbers the fire death rate in Japan is nearly identical between single-family and multi-story dwellings. Fire death rates in Europe, even Western Europe, vary significantly across countries even with similar building practices. In the US fire death rates have dropped precipitously in the past quarter century despite continued reliance on wooden construction.

What seems to matter are other factors, such as fire warning, fire suppression, and general fire safety knowledge. But also things like electrical systems, kitchen design, cooking methods, etc.