Personally, I am agnostic as to who should be in the driver's seat, so to speak, as long as it's somebody with the right expertise and the right knowledge and who is well supported by a sufficient number of officials and the right skill set.
When it comes to a coordination role, in my experience whenever there is a group or a task force, or whatever you want to name it, that's housed at PCO, the Prime Minister's department, it tends to focus the minds in the public service and it tends to signal the issue is very important to the Prime Minister and to the clerk. Having a coordination group or a responsible secretariat within the Privy Council Office, which is the Prime Minister's department, usually tends to signal to the entire bureaucracy that the issue is very important. It tends to make things happen, and make them happen as quickly and efficiently as possible.