Hard to say. There is this from the story:
Meanwhile, the government of Quebec, meanwhile, (sic) has plans to take legal action against the Harper government for withholding Quebec-specific data, which is essential to its plans to launch a provincial registry.
That sounds kinda ominous. Quebec has their own plans to start a provincial registry.
Also from the story:
According to Bill C-19, all data pertaining to non-restricted firearms will be deleted.
... officials are still deciding how to carefully sift out what to delete and what to keep.
So the data will be deleted but they don't know which parts. They're only going to delete the information for non-restricted firearms, whatever that means, so it is apparently going to take some time for the deletions to occur.
Quebec, on the other hand, has stated they will seek an injunction to stop the destruction of the records. They have also threatened legal action against the government if they fail to give them the records they want -- which would be presumably those records identifying firearms owners within its provincial borders.
I found it interesting that a husband of one of the Montreal victims, who is the head of the Coalition for Gun Control, is angry that they are going to do away with a law that he considers a "memorial."
There is also an ongoing debate as to whether provincial registries are constitutional.