You posted your reply comment as an answer. Oops.
But, I see your point. And I'll try to explain here as an answer (although I'm not sure if this is exactly what you are after).
It seems the figure in the Curve Fitting Toolbox is different from the figure generated if you save the code and run it from the MATLAB Editor. The 1st figure below is for your data. It was generated from the curve-fitting code after saving the code and running it from the MATLAB Editor. The data points (blue) are an exact fit with the model. This makes it difficult to distinguish the points from the line (red). The 2nd figure is a zoomed-in segment which reveals that the points are indeed on top of the line, which is what you want.
So, if you save the code and run it from the MATLAB Editor, you'll get the figure you want.