Btukfyl

I am trying to understand the naming behavior of paths inside a pic definition. Consider the following

documentclass{standalone}

usepackage{tikz}

usetikzlibrary{intersections}



tikzset{%

    path1/.pic={%

        coordinate (-p) at (-0.5,-0.5);

        draw[red, name path=-horz-fails] (-1,0.5) to (1,0.5);

        draw[black, name path=-vert] (0,-1) to (0,1);

    };

}

tikzset{%

    path2/.pic={%

        draw[blue, name path=-horz] (-1,0) to (1,0);

    };

}



begin{document}

begin{tikzpicture}

    pic [name=p1] at (0, 0) {path1};

    pic (p2) at (0, 0) {path2};

    draw [name intersections={of=-vert and -horz}]

        (intersection-1) circle (2pt) to (p1-p);

    %draw [name intersections={of=-vert and -horz-fails}]

    %    (intersection-1) circle (2pt);

end{tikzpicture}

end{document}

In this example, all four lines are correctly drawn. Further, the uncommented intersection is correctly drawn; however, if I uncomment the second intersection, I get get the compiler error

! Package tikz Error: I do not know the path named `-horz-works'. Perhaps you 

 misspelt it.

From my searches, I came across this question and the associated bug report from the answer. As with that answer, the last path named in the pic is available outside the definition. I thought this might be related, but I cloned the repository and tried compiling with the fix, but I still get the same result. I also tried to use name path .., but that did not make the path available in the main picture environment.

My question is: Is this a manifestation of the same bug? If not, what are the naming rules for paths inside a pic definition?

I notice that the coordinate (-p here) inherits the pic name outside scope of the pic as I expected and I would like to reference the path in the same manner.

Motivation

My ultimate goal is to draw a line to the intersection of two paths defined inside a generated pic. I have some Python code that generates the lines of latitude and longitude along a sphere. I would like to use the pic multiple times within a single picture; thus, I would like to refer to the paths with the parent pic name to compute only those intersections that will further what I am trying to show. Since I am computing the paths, I could define the coordinates of the intersections, but I would like to let TikZ do the job and that seems like overkill to me.