Earlier quoted context omitted.
Even with Google's changes, F-Droid will continue to work with Android phones that do not use Google GMS. If you care about your actually owning your device, install something else than stock OS. I would recommend GrapheneOS, since the security of some/most other alternatives is pretty bad.
This piddly open source effort pales in comparison to what we should really be doing: Horizontally splitting Google into multiple companies. Not division via department splits, but equal partitioning across the company into multiple horizontal businesses that compete on the same offerings. The EU and next DOJ/FTC need to force this.
The EU is not going to force this, because it has enough fights to pick with the US, and this is not the hill that they are willing to die on. It would be far more likely for them to financially support an AOSP-based OS.