Only re-enable remote service if the task used the network.

BUG=240165

Review URL: https://codereview.chromium.org/87463002

git-svn-id: svn://svn.chromium.org/chrome/trunk/src@237552 0039d316-1c4b-4281-b951-d872f2087c98
SVN changes up to revision 237552