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New notifications for Top Sites or Suggestions would overwrite the
current custom links, regardless if custom links was initialized or not.
This would replace the tiles in the frontend with the new set of Top
Sites/Suggestions and break custom link functionality.

Bug: 856394
Change-Id: Id60459722448f626c1c21e2424cbfbe55df5b6c6
Reviewed-on: https://chromium-review.googlesource.com/1159325
Commit-Queue: Kristi Park <kristipark@chromium.org>
Reviewed-by: Marc Treib <treib@chromium.org>
Cr-Commit-Position: refs/heads/master@{#580277}