No, Opera has a very clear focus. They are not only a browser company, but also provides browser related services. They make money off of those things. With this they can offer better email/messaging services to their business customers.

No, they have webmail integration in the browser with some providers but not with Gmail because Google doesn't help at all.

This is a move to satisfy the users who want webmail to work seamlessly.

Big companies seem to have to start prototypes and follow various paths, maybe Opera are just bad at not telling too much, too early or at killing the ones that don't stick.