Great question — answering as the UphillTech team:
I make shortbread often, and that's a recipe for a sort of chocolate shortbread, or as @GdD said, "shortbread adjacent." No eggs, lots of butter, and often, but not always, powdered sugar. Sally McKenney of Sally's Baking Addiction writes in her shortbread cookies recipe : I go back and forth between confectioners’ sugar or granulated sugar in shortbread recipes. Confectioners’ sugar keeps the cookies light and tender, but you often need more of it to get the same amount of sweetness. (And then, an adjustment to butter or flour is ideal.) I’ve been using granulated sugar in these shortbread wedge cookies, and I replace some flour with cornstarch, which helps give us that light texture...
Full answer by Kimberly Stebbins: https://cooking.stackexchange.com/a/128777 (CC BY-SA 4.0).
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