Nothing is really stopping F-Droid from keep going. The biggest problem isn’t really on the F-Droid side but on the app developer. Who want to developing apps just for a few degoogled phones? Most of F-Droid’s users uses google’s services.
If we take chat control as a example what is the point developing a super secure chat if only a few degoogled phones can use it. Even if the developer get the verification from Google. Now the developer in the mercy of Google. What’s stopping Google from banning them in the future? It can even be by country to country bases. Or even worse if the app became illegal in some countries now the developer will most likely get doxxed by Google and risks fines or jail. You’re totally in mercy of Mr don’t be evil.