Use an offset spatula or spoon to gently spread the 4 tablespoons of very soft butter over the dough. You might struggle a bit to get the butter to spread evenly over the dough, but just do the best you can; it doesn't need to be perfect! Sprinkle buttered dough evenly with brown sugar, cinnamon, nutmeg and allspice.
Using floured hands, gently roll up dough from one end, keeping the swirl as tight as possible without tearing the dough. Roll up until the seam is facing down against the work surface. Using a very sharp serrated knife, gently saw the dough into 8 equal rolls, each about 1 1/2 inches wide.
Line the bottom and sides of a 9-inch round baking pan with parchment paper. Gently transfer rolls, cut side-up, to baking pan; space evenly apart. Cover pan with plastic wrap and let dough rise 1 hour to 1 hour 30 minutes until puffy.
Heat oven to 350°F. Once rolls are puffy, uncover and bake 40 to 45 minutes or until dough is baked through and rolls are golden brown. Transfer pan to a cooling rack.
While rolls cool slightly, make the cream cheese frosting: In a small bowl using a spatula or an electric hand mixer, mix the 4 tablespoons butter and cream cheese until smooth and creamy. Add vanilla and pinch of salt; beat to combine. Gradually beat in powdered sugar until mixture is smooth and combined, then beat in 1 to 2 teaspoons milk until frosting is soft and spreadable.
Use an offset spatula or spoon to spread frosting evenly over warm rolls. Sprinkle rolls with more powdered sugar just before serving, if desired.