Kinda sorta. All share the same basic ingredients - flour, butter, powdered sugar, and vanilla - but there are variations between recipes. What I find interesting is the differences in ingredients are not consistent with the specific names of the recipes. Some Mexican Wedding Cookie recipes include cinnamon, others don't. I've also seen recipes that use granulated or brown sugar. Some use nuts, some don't. Same with Russian Tea Cakes. Pecan Sandies, of course, always include pecans. Some recipes for Swedish Heirloom Cookies might include ground almonds, almond flour or almond extract. Ours doesn't.
Just as I have modified my family recipes over the years, using all plant-based ingredients, I'm sure others have tweaked their family recipes, adjusting them to their tastes. Recipes evolve over time.