Not sure what about it does not qualify as "a real Linux"...
Unlike a traditional distribution it compatibility with a large # of mobile apps including things like Signal and WhatsApp along with a strong application security model, modern exploit mitigations, verified boot, etc.
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Every app is sandboxed. Users are in control of the data entered into apps and access granted via permissions, the system file manager, etc.
Profiles can also be used as isolated workspaces, particularly for apps refusing to run without a data access permission being granted.
It was simply an example of a popular app without a hard dependency on Google services being baked into the OS.
Most open source apps work fine without Google services provided by the OS. Many closed source apps work without it, while many others partially or fully depend on it.
Pokemon Go is a rare example where they don't simply have a dependency that's not included.
They go out of the way to forbid using it on an alternative OS even with Google services. Their check is currently a weak software-based one but will become hardware-based attestation.