But why did the Soviets need that much cross-range? First of all their spy satellites were not generally put into polar orbits (they used shorter lived satellites that didn't need sun synchronous orbits) and second of all, one polar orbit around from Baikonur runs right over Russian land rather than the Pacific Ocean, so they had no need for all of that cross range.
The only thing that makes sense to me is that a design goal for Buran was "copy the STS, but don't do quite as many silly things" because I simply can't find a use case for that much cross range for them.
The popularity of the Space Program in America has fluctuated over the years with a corresponding amount of support and funding from the government. That being said, the Space Shuttle was seen at the time as a major iteration in space technology. Moreover, it closely resembled an actual "space ship" from science fiction lore! For the first time space technology was recognizable and relatable to the American taxpayer.
They probably could have accomplished more with a less iconic design, but they would have had trouble selling it to Congress and taxpayers. For a society that's used to seeing billion-dollar metal tubes used up every several minutes before exploding into the ocean; the reusable "Space Shuttle" was a comfort investment for Americans that boosted confidence and enthusiasm for the Space Program.
Think snagging enemy’s secret sattelite from orbit and bringing it back for research.
https://falsesteps.wordpress.com/2012/10/06/mtkvp-glushkos-o...
Voila, you are now in completely different orbit, one that a conventional spacecraft can't achieve due to the delta-v requirements an inclination change would require.
Also once you have don this, you can put your perigee above the atmosphere by a short OMS burn.
It's a cute theory but you should be skeptical of the claim that this study was the motivation for the Soviet shuttle program.