appointment of a CEO or MD for a listed public company on only a...

appointment of a CEO or MD for a listed public company on only a part time basis is still very unusual; without disclosure of the agreement with AN1 for less than full time engagement would be misleading.

Of relevance in this instance, as seems the case, the private part time business consultancy is in the same general field of business advice with adverse possibilities.

I would expect AN1’s circumstances to be in need of full time focus of the person meant to be at the helm. Rather than AN1 itself in engaging a gig economy worker.