It is a long standing joke that the results of any committees deliberations is that another committee be appointed. In this case, the NSC already exists, but to "place it at the center of the decision making process" would certainly be new. In the end, if the PM has the responsibility, then he must have the authority without having some committee interfere. This would make no real change in the way things are done, but it would give people an extra club with which to beat the PM if he makes a bad judgement which the NSC warned against.
Austria's far-right leader Strache blames U.S., NATO for migrant crisis (Reuters)
from the article: Winograd task force: Bolster PMO National Security Council