Preheat oven to 170 °C (340°F) with the fan on/convection mode (see note 1 if you don't have a fan function) and line an 18x13 inch (half-sheet) baking tray. Only line the tray longways, leaving two of the edges of the pan exposed (see video for demonstration).
In a bowl combine the flour, cornstarch, baking powder and salt. Using a whisk or fork, mix until well combined (there's no need to sift it just yet). Set aside for now.
In a small bowl combine the milk and oil. Give it a mix and then set aside for now as well.
Next separate the yolks and whites from your eggs. Ensure no egg yolks get into the egg whites. Set aside.
In a large bowl add in 1 tbsp of warm water, and a ⅓ cup (66g) of white sugar (the portion of sugar assigned for the egg yolks) and mix so that the sugar is coated in the water. Next add in the 6 egg yolks and vanilla, and using a hand or stand mixer on a medium speed, whip until the mixture is thick and pale. You should be able to create ribbons with it that settle on the top of the mixture for a few seconds before being absorbed back in. This should roughly take 5 minutes but will vary depending on your mixer. Once done set aside for now.
In another large bowl add in the 6 egg whites. Using a hand or stand mixer (with clean attachments - see note 2), whip for 30 seconds until it's frothy, and then gradually add in ½ cup (100g) of white sugar while continuously mixing. Once the sugar is mixed in, continue to whip until you reach soft peaks. This should take about 7 minutes, but will vary depending on your mixer. We don't want stiff peaks so keep checking the egg whites to check they aren't being overwhipped (see video demonstration).
Add half of the whipped egg whites into your egg yolk mixture and using a spatula, gently fold until it's just combined. Fold gently as we want to try and retain as much air in the batter as possible. Next sift the dry ingredients into the bowl and fold until just combined. Once done, add in the remaining egg whites and fold until just combined.
To finish off, add in the milk/oil mixture and fold until just combined. Your mixture should be thick and flowy once done (see video demonstration).
Distribute the batter evenly into the lined baking tray and using an offset spatula (or anything that has a straight edge), even out the batter as much as possible. Once done, shake the tray to even out the batter further, and then drop the tray on the counter a few times to remove any large air bubbles. I also like to tap the bottom of the tray with my hands a few times.
Bake for 18-20 minutes, or until the top is golden brown, and the sponge slowly springs back when you touch the top. Allow to cool in the tray for 15 minutes.
While it's cooling, prepare some baking paper that we are going to be using to roll the Swiss roll. If your baking paper isn't large enough, then overlap two sheets. Lightly grease the baking paper with unflavoured vegetable oil, by dabbing your fingers into some unflavoured vegetable oil and then spreading it onto the baking paper. We only want a very thin layer (see note 3).
After 15 minutes, run a knife along the edges of the sponge that are stuck to the baking tray to help release the sponge, and then turn the sponge out onto the baking paper (golden side down).
Roll the sponge up using the baker paper while its still slightly warm. Set aside to cool (we will unroll it again later).