You will want to ask the game app vendor support directly.
An app developer can choose to store game status entirely on device, or hosted on a server somewhere.
If hosted, Game status can be hosted by the app vendor on their own servers, or using other servers.
Apple provides free hosting for game status as part of iCloud and Game Center / GameKit and using the user’s own iCloud storage.
Apple GameKit supports Apple platforms, and does not support Android, Linux, Windows, game consoles, or other platforms.
If the app developer hosts their own game status storage, they have control over all of this storage and network and platform access. They can do what they want. The downside of self-hosting of the game status: the game developers must pay for this game status storage and related network services and on an ongoing basis, and for as long as the game(s) involved remains available.
What this particular game developer use and what does this game might do? Nobody around here knows. The game developer likely uses GameKit on Apple platforms, and for whatever the Android equivalent might be, and game status is thus not shared among platforms. But best ask the app developer support folks directly.
Here is how to: Contact a third-party vendor - Apple Support