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.