Preheat the oven to 350 F (177 C). Grease and line the bottom of a 9- inch (23 cm) springform or cake pan with parchment paper.
In a large bowl, whisk together the flour, cornmeal, baking powder, baking soda and salt together until well combined.
1½ cups (180 g) all purpose flour, ¾ cup (90 g) white or yellow cornmeal, 1½ teaspoons baking powder, ½ teaspoon baking soda, ½ teaspoon salt
In a large mixing bowl fitted with paddle attachment, cream the butter and oil together until well combined. On low, cream in the sugar until combined. Increase the speed of the mixer to medium speed for 2 - 3 minutes. On low, cream in the the eggs and honey one at a time. Scrape the sides and bottom of the mixing bowl as needed. On low, mix in the dry ingredients, alternating with the buttermilk in this order. Evenly pour the cornbread cake batter into the prepared pan. ¾ cup (170 g) unsalted butter, room temperature, ¼ cup (60 ml) neutral baking oil , 1 cup (200 g) granulated sugar, 3 large eggs, room temperature, 2 tablespoons (30 ml) honey, 1 cup (240 ml) whole buttermilk, room temperature
Bake the cake for 30 - 40 minutes or until a toothpick inserted into the center of the cake comes out clean or with a few moist crumbs. The crust will be golden brown. Cool the cake in the pan for 15 minutes. Gently release the side of the springform pan and allow the cake to cool completely to room temperature. While the cake cools, make the salted honey cream cheese frosting. In a mixing bowl fitted with paddle attachment cream together the room butter with the room temperature cream cheese until creamy and well combined. Add the powdered sugar, honey, salt and 1 tablespoon (15 ml) of milk. Cream the ingredients together on low to combine. Then increase to medium speed and mix together until creamy and well combined.
4 oz. (113 g) cream cheese, room temperature, ¼ cup (57 g) unsalted butter, room temperature, 2 tablespoons (30 ml) honey, plus more for topping , 1½ cups (180 g) powdered sugar
Once the cake is completely cooled, top the cornbread cake with the salted honey frosting. Drizzle the top of the frosting with honey and a bit of flaky salt and enjoy.
1 - 2 teaspoons flaky salt, optional and to taste