Yes, I also think there is good reason to make sure that the regulator is not going to be under a single mission.
ISED has an innovation mission, which is really about the economy growing thanks to technology, but there are other aspects, especially those of harms, risks, national security risks or even global affairs questions, that the management and governance of AI by the government need to cover.
How to do that right I don't know, but I think it will be healthier if the organization doing this within our government isn't under a single particular ministry.