here is a list of 100+ not official fdroid repositories. https://github.com/userkilled/FDroid-List-Repository
F-That
I'd definitely consider this as being "available on F-Droid".
Who decides what is cool? That's right, the marketing departments of huge corporations...
The AGPL only requires that the host also provides their code.
What it doesn't ban people from doing is selling a service, which is different from their license that allows only non-commercial uses.
The F-droid team does not have a high bar to be dicks. They do it to ensure their users get binaries that match the published code to prevent increasingly supply chain attacks.
The standards are there for good reason, and if you do not understand those reasons, then use a license that allows the people that do understand to distribute your software for you.
Very very few software engineers understand supply chain attacks or how to prevent them.
> It looks like F-Droid does not have any apps matching your search string "grayjay"
You're using a third-party repo that allows proprietary apps. The real F-Droid only allows FOSS ones.