Reinforced by coffee and toast, I think I now have an explanation of my problem.
First, the Corel program let me generate a greyscale map of what amounts to a Z axis only view of my model. This is a series of filled ellipses, going from white in the centre to black outside.
If the "blend" that Corel performs is made with no "acceleration", the result is a linear step size from each ellipse to the next, so the profile seen from the side would be a straight slope.
Having chosen a high acceleration to the blend, the resulting profile is a truncated bell curve, which is what I'm aiming for.
When the saved .gif file is opened by Axis, it requires a set of parameters to be input, and it then generates a display of the resulting tool path.
Two things have now occurred.
The first is that the tool path doesn't allow the tool profile( generated from tool diameter and tip shape input as above) to cut into the shape being generated. I've no idea how it does this at present, but just accept that it does !
This means, in my case, that if the surface being generated has a curve of smaller radius than the tool, which I suspect may be occurring near the bottom of the bell curve, the path will avoid this conflict.
The second is that the path shown on the Axis window appears to show the shape of the object.
It doesn't.
The image of the tool path looks very much like the finished object, but it will be "fatter" around the X-Y plane by an amount equal to the tool diameter.
I think these two effects merge together, and have given me the present problem.
As my judgement of the shape is purely an aesthetic one at this stage, because there is no reference grid available as a background, I have been taken in by the similarity of the tool path to the shape I'm trying to produce.
It seems to me now that the only course is to cast some wax, and get cutting.
This in turn now makes me wonder about the choice of "alternating" path when cutting wax.
Will it be liable to melt when the tool is cutting in the "wrong" direction ?
Ho hum.