Disclaimer: I graduated from one of the top math high schools in Moscow in early 90s, I have MS in Math from Moscow State University, and a half finished PhD from the same place. I think on average the difference between a high school student from Russia and US is negligible. Either country doesn’t really require much to finish school and many kids just do the tests without understanding what is going on. What separa…
"I think on average the difference between a high school student from Russia and US is negligible." That's difficult to believe. I went to comparable level early education schools in Russia and the US and observed stark differences in the quality of math education. Math culture is a thing, and it varies between countries, affecting the education system on the whole as well.
There are probably more people on the long tail of math talent here so it's understandable their impressions on the two systems are much different. OP's comment also talked about the pipeline for gifted kids and he concurred that the Soviet style is effective for training those students.