It seems like it would be trivial for a user to login to the app acquired from a different store to be able to display a "welcome back" or even something along the lines of a "restore purchases" type of thing.
This can't be reinventing the wheel kind of a thing.
The only way a developer would know a person is an existing user is if they have a user sign up process inside the app itself.
It is doable, the main issues is: 1. Getting users to redownload the app from the Play store 2. Maintaining this registration transfer mechanism
Shattered Pixel Dungeon was a good example of me paying on one platform, and then applying the upgrade to the free app after downloading on another.
This isn't any different from a user switching to a new device and having to download apps again. Not everyone restores from backup and prefers clean installs. Downloading an app again should not be the point of friction
I suppose I could analyze that data, although I can't think of an actual good reason to do so. I have no idea whether those records are real or fabricated. So no real way to verify that google is paying me the correct amount. Since you asked.
It was an idle curiosity. If i ever make an app, it'll have a trivial authenticated hosted back end, just to keep google honest!