You don't seem to understand what chairman of the board is, and you don't seem to understand the function of the lobbyist registry. 

Whether he personally is a registered lobbyist is irrelevant, the relevant factor is that organization receives he leads government funding. That sets up the conflict of interest. Not personally being a registered lobbyist does not dissolve the conflict. It simply sits up the possibility he was lobbying the PM while not being a registered lobbyist (which is another infraction).

I'm not the least bit concerned what Rona Ambrose has to say.