Preheat oven to 350°. Spray three 8 inch pans with cooking spray and line with parchment rounds then lightly spray again.
Divide the cinnamon oat crumble between the three pans and press down to evenly line the bottom of each pan. Set aside.
In a stand mixer fitted with a paddle attachment, mix together all dry ingredients (flour, sugar baking powder, cinnamon and salt).
With the mixer on low, slowly add chunks of room-temperature butter. Continue to mix until no large chunks of butter remain and the mixture resembles sand.
Add the egg whites and mix on low until just incorporated.
Add the buttermilk and mix on low until just incorporated.
Add in vanilla and oil and mix at a low speed until fully incorporated. Scrape down the sides of the bowl with a spatula and mix a few seconds longer, but make sure not to overmix.
Divide batter evenly between the prepared cake pans.
Add spoonful's of the strawberry rhubarb compote to each filled pan and swirl throughout the cake batter. You will want around a 1/2-3/4 cup per pan.
Bake for 44-55 minutes, or until a toothpick comes out clean. Allow the pans to cool for 10 minutes and then transfer to a wire rack to completely cool.