Soviet missile cruisers served distinct fleet roles

Were the Slava, Kara, Kresta, and Kresta II classes intended as guided-missile fleet cruisers?

Broadly yes, although the classes and their fleet roles need more detail than a short answer permits; the Soviet Navy series provides that class-by-class context.

The broad classification works, but the projects are not interchangeable. Soviet cruiser labels conceal different anti-air, anti-submarine, and surface-strike emphases that require class-by-class study.