Will they dare ship it with a browser in the EU?
Probably, the EU isn't (as yet) treating Google like a bank for when times are hard. You do have to wonder why everyone but microsoft being allowed to distribute a browser with their operating system is somehow considered fair, especially as Apple (and probably google) have their browsers much closer tied in than MS ever have.
Why wouldn't they? Unlike Microsoft, they aren't using their dominance in one market to force their way into another market.