Since today (firmware 2.0.2) it works - and amazingly well!

now, yes.

Yes, it works since firmware 2.0.2. The touch control surfaces can be configured individually in the app.

It doesn't work, but I have heard that they will add this feature with upcoming updates.

I've just noticed that you can adjust the volume from the earphones using Google Assistant.

These are not Apple Earpods, but Sony earphones.
No, the sound volume is controlled from the source.

No.

unfortunately this does not work