Preparation: Make the lemon curd and refrigerate until ready to use (separate 2 tablespoons for the lemon icing, the rest will be added to the top of the cake before baking). Line the sides and double line the base of a 7.5 or 8-inch springform cake pan with parchment paper. Preheat your oven to fan-forced 160°C/320°F or conventional 180°C/356°F.
Lemon crumb topping: Add the crumble ingredients to a bowl and rub between your fingers unti it resembles a crumb consistency. Set aside in the fridge.
Mix dry ingredients: Sift the flour, baking powder, baking soda, and sea salt into a bowl and stir to combine. Set aside.
Make vegan buttermilk: Mix the soy milk and lemon juice in a jug and set aside.
Flavor the sugar: Add the lemon zest and sugar to a large mixing bowl and use your fingertips to rub the zest into the sugar until the sugar crystals feel "wet".
Mix wet ingredients: Add the yogurt, melted butter, olive oil, and vanilla extract to the sugar and whisk. Whisk in the vegan buttermilk (soy milk and lemon juice).
Make the batter: Fold dry ingredients into the wet ingredients in 2 parts using a spatula. Fold the ingredients into the batter between each increment until there are no pockets or streaks of flour. Do not be tempted to overmix!
Assemble: Add the cake batter to the baking pan and use an offset spatula to smooth it into an even layer. Top with blobs of lemon curd and gently smooth them out with an offset spatula. Sprinkle the lemon crumble on top.
Bake: Bake for 50-60 minutes. To check for doneness, insert a skewer or toothpick into the center, it should come out almost clean with a few crumbs. If there is still wet batter (not lemon curd) on the skewer, continue to bake for another 5 minutes as needed.
Cool: Allow the cake to cool in the tin for 10 minutes, then carefully remove the pan and transfer to a wire rack to cool completely.
Make the glaze: Whisk together the glaze ingredients until smooth. Once the cake is completely cool, dust it with some powdered sugar and drizzle the glaze over the top.
