Preheat oven to 320°F (160 °C) with the convection fan on (see note 2 for instructions if using a conventional oven). Line the bottom of two 8 x 3 inch baking tins with parchment paper without greasing the bottom. Leave the sides of the cake tins ungreased and bare (do not line with parchment paper).
In a medium bowl, combine flour, cornstarch, baking powder and salt. Mix until well combined (you do not need to sift it yet). Set aside.
In another medium bowl, add the egg whites and white vinegar. Using a hand or stand mixer, whip on medium-high speed for 30 seconds, until foamy. Gradually add ⅓ cup of the sugar, then continue mixing for a further 2 minutes. Turn your mixer down to low and mix for another minute (about 4 minutes of mixing altogether). You should end up with stiff peaks (see note 3). Set aside.
In a large bowl, add the remaining ⅓ cup of white sugar and the warm water. Mix until the sugar is coated in the water. Add the egg yolks and vanilla, then use a hand or stand mixer to whip on medium-high speed for 4 minutes. Turn the mixer down to low and mix for a further minute (5 minutes of mixing altogether). Your mixture should now be thick, and you should be able to create ribbons with it when you lift it up with a spoon.
Slowly stream the vegetable oil into the egg yolk mixture while mixing on medium speed. Mix until well combined.
Add half of the egg whites to the egg yolk mixture and gently fold together with a spatula until just combined.
Sift in the dry ingredients and gently fold through until just combined.
Finish by adding the remaining egg whites and gently fold until just combined. You can use your spatula to break up any large chunks of unmixed egg whites, but try not to push out too many air bubbles. Be careful not to overmix.
Distribute the batter evenly between your cake pans, then lightly tap the pans on your counter. Run a thin knife or toothpick through the batter to remove any large air bubbles. Bake for 25 minutes. To check whether they're done, gently touch the tops. They should create a little indent that slowly bounces back.
Once the sponges are done, immediately tap the pans on the counter from a height of about 10 cm. Then, while the sponges are still in their pans, turn them upside down onto a wire rack and leave them to cool completely (see note 4).
Once cooled (about an hour later), run a thin knife around the edges to release the cakes from the pans, then turn them out onto a wire rack.
To make my cake layers look nice and neat, I gently rub my fingers around the edges and tops to remove the dark crust (see video for demonstration). I find that the dark crust on sponge cakes can also contain a slight eggy aftertaste, which is why I prefer to remove it.
APPLY SIMPLE SYRUP: Combine the sugar and hot water for the simple syrup, mixing until the sugar has completely dissolved. Using a pastry brush, generously brush the tops and sides of the sponges with the simple syrup (see note 5). I use about ¾ of the simple syrup mixture in total.