Completely fake news by the haters towards China.
It’s simply an app that blocks scam calls and text, in fact, you don’t need to install it if you don’t like. Also on the app stores, there are plenty alternatives to choose from.
The pushing services must be running in the background constantly to provide the push notification services. This is how apps can receive notifications without even running it.
If every app uses its own push notification services, an average consumer may end up with half dozens of those notification agents running consuming more RAM and battery life. For Android devices this might be OK (8-16GB RAM nowadays) but for Apple, this may not even be possible for its RAM size (<=8GB).