Preheat oven to 350°F (180°C). Spray an 8 1⁄2×4 1⁄2-inch loaf pan with baking spray with flour. Line pan with parchment paper, letting excess extend over all sides of pan.
In the bowl of a stand mixer fitted with the whisk attachment, beat granulated sugar and 1 1⁄2 tablespoons (9 grams) lemon zest at low speed until fragrant, 1 to 2 minutes. Add eggs, and beat at medium-high speed until mixture is thick, pale, and ribbon-consistency, 3 to 5 minutes. With mixer on medium- low speed, add oil and vanilla in a slow, steady stream, beating until combined. Add yogurt, beating until combined.
In a medium bowl, whisk together flour, baking powder, and salt. With mixer on low speed, gradually add flour mixture to sugar mixture, beating until just combined and stopping to scrape bottom and sides of bowl. Spread batter into prepared pan.
Using a lightly oiled bench scraper, score a line lengthwise down center of batter.
Bake until a wooden pick inserted in center comes out clean and an instant-read thermometer inserted in center registers 205°F (96°C) to 210°F (99°C), 50 to 55 minutes. Let cool in pan for 5 minutes. Using excess parchment as handles, remove from pan, and let cool completely on a wire rack. Store in an airtight container for up to 3 days.
Just before serving, in the bowl of a stand mixer fitted with the whisk attachment, beat cold cream, confectioners’ sugar, and remaining 2 teaspoons (4 grams) lemon zest at medium speed until medium peaks form, 3 to 4 minutes. Serve cake with whipped cream mixture, and garnish with oil, if desired.