This is in the native phone app. I'm in the US. Definitely didn't have this feature before. It announces when you start recording.
I know it's been a thing with some other phones and in other countries, but hey it's cool to have it on my Pixel 8.
This has been a feature since at least 2012 on every Android I've tested and it never required google. Pixels can't be that far behind. Since it's advertising Google, I bet the recording feature is sending it straight to the cloud before or after writing the file locally (or writing it straight to google drive).