Still not entirely certain of the link between this and G-Suite. Do I understand correctly that G-Suite includes Cloud Identity (Free edition), but Premium addition is an optional add on to G-Suite? But both Free and Premium versions of Cloud Identity can be used without a G-Suite subscription? So the Free version is basically G-Suite without the productivity Apps? The site doesn't really make it clear what the Free Tier does, and seems to be pushing hard to sign up for the Free trial of premium.
Yes, yes and yes. The marketing sucks and the documentation is a confusing mess, but this is what it looks like:
1) Cloud Identity Free = User accounts, SSO, with Google or external identity provider.
2) Cloud Identity Premium = Advanced user management, device control, compliance, reporting, etc.
3) G-Suite Productivity Apps
4) Google Cloud Platform
G-Suite or GCP include Identity Free Edition, but you can use Identity on its own. And then you can always upgrade it to Premium edition for more control.