Preheat your oven to 350°F. Lightly grease 9 cocotte or ramekin dishes with butter or non-stick spray and arrange them on a rimmed baking sheet.
Make the lemon cream cheese filling: In a small bowl, stir together whipped cream cheese, 1 tbsp lemon juice, and the zest from 1 lemon until smooth and well combined. Set aside.
Lightly flour your work surface. Open both tubes of 2 tubes store-bought Crescent dough cubes and separate the dough into individual pieces. Press and stretch the pieces together to form one large rectangle, pinching any seams closed.
Brush the dough evenly with the melted butter. Spread the lemon cream cheese mixture across the surface, leaving a 1/2-inch border around the edges. Dollop and gently spread lemon curd over the cream cheese layer.
Cut a 1 - 1.5 inch strip of the dough lengthwise. Starting from the long edge, roll the dough tightly into a log. Take the dough log and gently roll down creating a spiral/mini cinnamon roll. Place the roll into the prepared cocotte. Repeat the process with remaining dough. You should be able to roll out 9 mini cinnamon rolls.
Place all the cocottes on a baking sheet and brush with melted butter. Bake for about 20 minutes checking to make sure they are golden brown. Remove from the oven and cool slightly before topping.
While the rolls bake, beat 4 tbsp unsalted butter, room temperature with a hand mixer. Gradually mix in 2 cups of confectioners' sugar, then add 2 tbsp whole milk, 1 tbsp lemon juice, ¼ tsp kosher salt, and 1 tsp vanilla extract. Whisk until the frosting is silky and spreadable. Add a splash of more milk if needed to reach your desired consistency.Frost the lemon frosting generously over each warm roll.