Salt and pepper the beef on all sides; let it sit for 45 minutes.
In a large Dutch Oven, heat the lard, or olive oil, over a medium-high flame until it shimmers. Stirring occasionally, add celery and carrots, and cook until softened, but not brown, for about 5 minutes. Add about 1/3 of the onion (about 1 pound, 450g), season with salt, and continue cooking, stirring occasionally until onions are softened, but not browned.
Add 1/4 cup wine and tomato paste. Stir and scrape with a wooden spatula on the bottom and sides to remove any stuck-on bits. Spread the onion mixture in an even layer to cover the bottom of the pan. Reduce heat to medium and add the beef. Nestle pieces in onion mixture, in one layer. Cover remaining onions with beef (about 2 pounds, 900g), season with salt, and add bay leaf. Cover pot with a lid.
Stirring and uncovering the pot to make sure vegetables and beef don't stick to the bottom is important. Cook until onions have become very soft and released moisture. This should take about an hour. As needed, adjust the heat to maintain a simmering, gentle temperature. Try to keep an onion layer between the bottom of the pot and beef.
Continue to cook the beef until it is tender and offers little resistance when poked or pressed with wooden spoons, approximately 1 hour 30 minutes more. Remove the beef and bay leaves with tongs. Set aside to allow beef to cool and then discard bay leaf.
Add the remaining 3/4 cup of wine (180ml), and cherry tomatoes if you are using them, to the onion mixture. Bring to a simmer on medium heat. When beef is cool enough for you to handle, slice it into 1-1/2-inch pieces. Add back to the pot. Salt to taste, and continue to cook, stirring frequently, until the tomatoes burst, and the mixture has reduced to a saucey braised ragu, approximately 15 minutes. Prod the pieces of beef with a wooden teaspoon to break them down a little. But don't go overboard. The goal is a mixture that includes distinct pieces of meat and some shredded bits blending into the sauce.
In a pot with salted boiling, cook the pasta for 1 to 2 minutes longer than recommended on the package. Transfer pasta and 1/2 cup (120ml), pasta cooking water, to the sauce using a spider skimmer. You can also drain the pasta in a fine-mesh sieve or colander, reserving at least one cup (240ml).
Stirring rapidly, increase heat to high. Cook, stirring quickly, for 1 to 2 min. until pasta is cooked al dente, and the sauce thickens and coats the noodles. Add more pasta water as required, in increments of 1/4 cup (60ml). Add parsley and quickly stir to combine. Remove from heat. Add salt to your taste. Serve immediately and pass the grated cheese to the table.