Thanks Dave and Bob for your responses
I got a cable in and also tested a various powers
The cable made a very small difference. a couple of points out of 255 RGB. It could mean that 1/100th was free from any shutter shading at all, but it is still far away from the 1/250th promised by the a7rii
Testing at various power levels made no noticeable change to the shading effect I'm testing for.
So, sadly my conclusion is that, although these shutters may have ratings that can be trusted for general purpose photography, very precise work will need to acknowledge these limitations. So I'm back where I started, using reasonably slow x-sync or correcting for the shading with an LCC.
Its not the result I was looking for, but at least I know...
So, I will be continuing to use my cameras at 1/80th - 1/100th