I have my registration sorted now so can buy spare parts. The local dealer has been really good and helped me out with that.
In case anyone has any patience left for this problem, I have prepared another example, this one to hopefully get Mazak support with. It shows a complete example of the code, what the machine thinks it should do and what it actually does. Another video of it doing a big bang. This one made me jump while filming it, even though I knew it was coming!
I am pretty sure I have confirmed now that with all the combinations I have tried, the arc Z center is always at work offset Z machine coordinate - radius. Like it tool length offset is not applied to the radius center.
See attached pdf.
https://youtu.be/ZPdCrzxeH8k