mm flynn
You are asking an impossible question. I don't know the circumstances. I do know that I have made an approach on a private flight, perfectly safely, that would have been illegal on a public-transport flight. If you know about the regulations applying to an AOC flight, and the status of an ops manual then you would know what I mean.
My point is that priority is irrelevant. The key is responsibility and flexibility, or lack of it. I would accept clearances on a private flight I would not on a public-transport flight. Not unsafe, just not as safe as I want of my crews on public-transport flights. Some of those clearances would be acepted by some of our competitors; it comes down to professionalism. A pilot on a private flight is not expected to be as professional. Maybe not how you think it should be, but it is reality.