Interesting analogies, but Google Wave is ultimately more of a collaborative hypertext journaling system than anything like Notes or Groove
Google Wave is another grab for the Holy Grail of collaborative computing. But, will it be more successful than previous attempts?
Whenever you see something compared to Lotus Notes, as Google Wave has been, you know to expect an uphill slog. Add a comparison to Microsoft Groove, which I have not seen but seems reasonable, and you can expect deep trouble.
Both Notes and Groove are wonderful, innovative applications that have never caught on as I had hoped. Why? They are too difficult to use and develop for. They were way ahead of their time.