It's odd that you'd use the deja news archive. They way Google handled that aas pretty terrible.
Arguably moving away from the Google Groups search page and into the general search page but using the site:groups.google.com term is better but now it's really hard to find stuff and it's really hard to search by different parameters.
Yes, and Google Books was hampered by backlash from authors. That's why I noted both projects had a history of ups and downs. However, both are still going.
The point is that, if we're talking about Google's history, they have shown an interest in preserving data. And in regards to the Internet Archive, they'd only be serving as a backup storage provider, not in a frontend role.
This is not to say that Google (or Amazon or Microsoft) should be the only backup provider for the Internet Archive, for example, but it would hardly be a bad thing, as tracker1 suggested, if they cared to donate the resources.
Arguably moving away from the Google Groups search page and into the general search page but using the site:groups.google.com term is better but now it's really hard to find stuff and it's really hard to search by different parameters.