Thank you for the replies everyone.
Here is a shared link to the the design file with the problem.
First, I did a test of this theory, in another design file. It worked just fine ...

I suppose that both path and rail are, "connected" via the projection of each path to my sketch. But this is also the case in the latter, problematic version. It still does not work.
Then I repeated something similar, but more accurate profile in the main design.

Here we can clearly see that both paths are, "connected" -- or rather projected into the profile sketch.
Concerning the possibility of the profile crossing over itself, I tried a simple shape ...

No joy there, either.
Before this version, I used paths horizontally adjacent, instead of the presently vertically aligned couple. It makes no difference. The two paths come from the edges of a previously created coil ...

I also tried a triangular section, so as to get a guide rail in the vertical center of the profile sketch. Again, no difference. Same error.
Oh and I have tried switching path and rail selections, as well. No difference.
I can see no substantial difference between my test, which worked and this later version.
Oh! I think I do see a small difference. Actually, it is NOT the paths that are projected onto the profile sketch, but rather the square section upon which the sketch is drawn. Let me change that now, by projecting the actual path end point ...

Alas, no change. Same error.
So now we have a single profile sketch, containing the profile and the two paths. Last clutch at a straw, then ... I'll try selecting the path from the original path sketch and the guide rail from the profile sketch, so as to keep them completely separate, in theory ... nope. Same (non)result.
Perplexing it is being. Jedi Master even so! 😛