Slice corn kernels off of the cobs and reserve the cobs for later.
In a large saucepan over medium heat, add oil and butter, if using. Add corn kernels and sauté for 3-4 minutes, stirring occasionally. Using the back of a knife, scrape down the cobs to release any excess juices and corn into the pot.
Add the onions and salt and cook for 2-3 minutes, or until the onions are tender. Add paprika and toss to incorporate.
Add 2 cups water to the pot and the cobs (this adds natural sweetness and even more corn flavour) and bring to a low simmer. Let cook for 10 minutes.
After the 10 minutes is up, remove the cobs from the pot and transfer the remaining contents to a blender. Add miso paste and plant milk and blend until smooth. Add salt as needed, adjusting to taste.
To serve, strain if you prefer a silkier texture or serve as is. Top with breadcrumbs if desired.