alt Hacker NewsYandex cloud is not as big as AWS.
First of all AWS (even in us-*) most likely have non-US services\data. Yandex is mostly used by russian companies.
Plus, from my personal experience cloud is not as popular in Russia as in the west.
Big players like Sber, Ozon, T-Bank etc have their own datacenters and [may] use Yandex (or cloud.ru for example) for redundancy and\or non-critical services.
Small players use vps or something similar.
Big non-tech players (gas&oil for example) often rent redicated servers or space in a rack for their own hardware.
At least in the West, “space in a rack” is still small business territory, both because of scale as well as security concerns.
Big players that don’t have their own datacenters - which includes many tech players - rent private wire cages full of racks, or else “suites” - essentially private rooms. But they’re not typically using companies like Yandex. They use enterprise datacenter providers like Equinix, that require enterprise commitments, and don’t sell to individuals.