They are the ones that start the transfer, but transfers can take upwards of 6-8 weeks right now in Ontario. Things are swamped at the CFO office right now with the fuster cluck that took place earlier this month and the continual ####ery that is on going.
Don't expect to see that gun for the next month or so. Call the CFO and ask about the serial number and they can tell you when they initialized the transfer and MIGHT be able to tell you roughly when to expect it.