Heat a large Dutch oven with the olive oil over medium-high heat. Add the ground beef with a liberal pinch of salt and cook until brown, about 4 minutes. Meanwhile, combine the carrots, celery and onions in a food processor and pulse to chop finely.
With a slotted spoon, remove the browned meat from the pan and set aside. Add the vegetables to the pan with a large pinch of salt and sweat until translucent and aromatic, 3 to 4 minutes. Add the garlic and sweat 1 minute more. Deglaze the pan with the red wine, scraping the bottom of the pan with a wooden spoon to get all the goodies into the sauce. Bring to a simmer and cook until reduced by about half. Then add the tomatoes, oregano, bay leaf, chile flakes and ground beef back in. Simmer for about 30 minutes.
While the sauce is simmering, bring a large pot of salted water to a boil. When you have 5 minutes left for the sauce, drop the zucchini into the boiling water and give it a stir so it doesn't stick. When the noodles are cooked al dente, remove and set aside 1/2 cup of the pasta water, and then drain.
Stir the zucchini noodles into the sauce to coat the noodles. Add the reserved pasta water, Parmesan, butter, olive oil and parsley and continue to mix. Once the butter is melted and everything is incorporated, remove from the heat and serve immediately.