Actually, Moscow's history of single vault stations began 40 years prior to Skhodnenskaya with Biblioteka Imeni Lenina which opened along with the Metro itself in 1935.
The delicacy required when preparing and handling heavy monolithic concrete vault blocks was labour-intensive and in that period of industrialisation, was not cost affective.
First tested in the Kharkov Metro (hence the name), the design is initiated with a simple cut and cover as a column tri-span after the walls are mounted (and reinforced).
In presence of high water pressure from the soil, the walls are not only left outside, but also the vault is forced into a backwards curvature, making the station even more cylindrical.
The station's underground vestibules are interlinked with subways allowing access to the Skhodnenskaya street, named after Skhodnya River, and Yana Rainisa and Khimkinskiy Boulevards.