IMHO F-Droid is just mad because their store model of "developer publishes source code, F-Droid builds and signs the APK" would put immense liability on F-Droid. After all with that model F-Droid owns the private signing keys and now has to register them with Google. If they let a single malware app slide through, Google might designate F-Droid as a malware provider and block everything ever published on F-Droid. (Sidenote: Last I checked F-Droid had nothing in their policies that forbids publishing malware, just that it has to be open source) If you ask me this store model was always stupid and completely missed the point of having signed APKs. I think they also have a newer model where they don't own the private keys anymore, but there's still tons of legacy apps.
Of course Google might have been open to talks about some kind of verified app store program allowing F-Droid to operate under different terms. But that's certainly out the window after all the fear mongering, hyperbole and straight up propaganda F-Droid has put out in recent months.