Hello, thank you for all of the information.
Frenchy Pilou, I don't quite understand the first point you made but it seems you were offering a way to make the fillet work somehow? As for the animated gif file you basically cut the model in half and had a higher fillet on the right object using variable fillet? But you can't make the entire object with that same larger fillet?
Michael, so it's best to not fillet the construction curves and instead boolean first and then fillet the solids? Is there any situation when you should fillet the curves first?
Here I have made a simple curve using Polyline.
However when I extrude with Tapered active I get this Joined Surface and not a solid.

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