No, I do not agree with that statement.
Here is a Treasury Board document. It was in force when I worked for National Defence, and it still applies. Unfortunately, it is in English.
I would like to read that very briefly. It talks about the role of operating departments and their responsibility in acquisition. It says very clearly:
Operating departments are responsible for the achievement of their approved project and procurement objectives, and for incorporating the government's socio-economic decisions into their procurement and project management activities.
It is clear to me that the Department of National Defence is responsible for its own procurement.