A couple years ago, I used Aurora to install paid games on my Shield TV. Games that Google Play doesn't normally allow on the Shield (like the PS2 era GTA games). Well Google changed something, and it's no longer possible to download and install purchased apps or games through Aurora, even if you log into your Google account. This sucks, because I formatted my Shield TV expecting be able to reinstall these games, but it doesn't work anymore.
Yeah, Aurora is still good, but Google has been crippling it.
Aurora stores GitHub page states under the Limitation section that it is not able to install, or update paid apps.
https://github.com/whyorean/AuroraStore