Many a big company migrated because they have those very same slow procurement problems with internal data centers. I saw multiple cloud migrations because internal friction was at a level that the price didn't matter: 6 months for the smallest VM kind of thing. Very adversarial relationships, often with very poor incentives, as the service setup costs for other business units were way inflated, but then the maintenance costs didn't pay enough. Paying 3x-4x more a year for just a semblance of reliability was seen as a big plus.