Preheat the oven to 325 degrees F, lightly mist a 9x9 (metal*) pan with non-stick spray, and line with parchment. Place the flours, baking powder, baking soda, and salt in a large mixing bowl, and whisk to combine. Add the butter, mixing on medium-low speed until the mixture resembles damp sand (about 1 minute).
Add the eggs, one at a time, scraping the bottom and sides of the bowl to be sure all the ingredients are fully incorporated.
Scrape the bottom and sides of the bowl, then stir in the sour cream until combined.
Slowly stream in the maple syrup and maple extract (if using) while continuing to mix.
Scrape the bottom and sides of the bowl with a silicone spatula, then turn the mixer up to medium-high speed and mix for about a minute and a half to aerate the batter and build the cake's structure.
Transfer the batter to the prepared pan, and bake until a toothpick inserted in the center comes out clean or with a few moist crumbs (approx. 30 to 40 minutes).
Cool completely, then frost, drizzle with salted maple caramel, and sprinkle with flaky sea salt (optional).