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A positive update on their part that their collection is "closed" clearly implies that they no longer have collection authority.
I would interpret it as such.
You could eitther call them to confirm, or simply contact the CRA and request deletion based on the CRA policy that a debt collector should delete their collection if they no longer have collection authority.
The consumer cannot instruct or require a debt collector to be more active in their collection activities, and most likely would not want to do so.
If they choose not to devote current efforts to actively pursue the debt, that is not basis for requiring deletion of their reporitng.