CBSA was actually faster in my experience, I got the result in 2-3 weeks. Just make sure to upload not just the consent form, but also ID for sponsor, PA, and dependents.Good question. I have sent one 2 weeks ago and nothing came back yet. I heard the timeline for IRCC is 30 days. For CBSA, it may take a long time as I heard a friend who have been waiting for more than 3 months.
Hope it helps.