What is the actual effect? Are your characters deleted? Is your legally purchased copy (license) of the game forfeited?
I still very much do not like this, given that someday the server which affirms your ownership of the game will be taken offline.
For some official confirmation of the policy:
-- that they are mandating your machine to be online, and
-- that the working state of the product will depend on infrastructure outside your power
and possibly more.