No. In the first instance, it's not a standing committee, so it's not obvious that privilege would attach to that. Then you get into the experts discussing parliamentary privilege and the fact that it would attach to it only if it were linked to deliberations of the House.
So certain decisions probably wouldn't be covered by privilege, where others would be. I think this is why, for instance, in the statute, the Parliament of Canada Act, it specifically says that the board is the sole authority.