Preheat the oven to 350°F (175°C). Line a 9 x 5 inch loaf pan with a piece of parchment paper that fits the bottom and long sides, folding the paper over the sides; use 1 tablespoon of olive oil to grease the short sides so the parchment stays in place.
In a food processor combine the cottage cheese, rolled oats, eggs, the remaining 1 tablespoon olive oil, baking powder, sugar (or sweetener), and salt.
Purée until the oats are mostly ground and the batter is smooth and homogenous.
Pour the batter into the prepared pan and, if desired, sprinkle about 1 teaspoon of oats over the top.
Bake for 60 to 70 minutes, until a toothpick inserted into the center comes out clean; if the top browns too quickly in the last 10–15 minutes, loosely tent with foil.
Cool the loaf in the pan for at least 10 minutes, then lift it out using the parchment paper and cool to room temperature before slicing.