Thanks or the reply, @Istvan! I truly appreciate your help, but I don’t fully understand “sketch mode” in this specific context:
…you just need to initiate the project tool from sketch mode
If I’m actively within a sketch (i.e. I can see the line, arc, spline, etc. options), I can’t project onto a different sketch. In fact, the other sketch disappears from the item list:
Unless you mean to ensure “Edges” are not selected as an option when projecting overall. In the two scenarios from my original post, “Sketches” were selected: