In a small saucepan, brown 6 tablespoons of the butter. As always, take your time with this step; it can be lengthy, but it MAKES OR BREAKS the recipe. If you have never browned butter, refer to my notes in the post above 'How to Properly Brown Butter.'
Once the butter is perfectly golden and smells nutty, remove it from the heat. Use a tablespoon measuring spoon to immediately reserve 3 tablespoons of the brown butter to a small bowl, 2 tablespoons set aside in a separate small bowl with the paprika(s), and the remaining tablespoon brushed over the bottom and sides of small round casserole dish. ProTip: I waste nothing, and that especially goes for brown butter. Use a rubber spatula to scrape whatever butter remains in the saucepan into the small bowl containing the 3 tablespoons. The flavor is so intense that to leave any behind is to lose out on the finished dish.
Add equal parts olive oil and salt (about a teaspoon-ish each) to a large pot and fill it with enough water to cook the pasta submerged. Bring to a boil and cook the noodles according to package directions. Drain and empty into a large mixing bowl and set aside. If you have turned your oven off from when you roasted the garlic, once again preheat to 375°F.
Place the remaining tablespoon of butter in a sauté pan over medium heat. Add the onion and gently sauté until translucent, about 5 to 8 minutes. As the onions begin to break down, add Kosher salt, black pepper, freshly ground nutmeg, and the caraway seed. Reduce the heat if the onions appear to be browning, as you merely want them translucent to lightly golden at most. Remove the sauté pan from the heat. Add into the onion mixture, the 3 tablespoons of reserved brown butter and stir well.
To the bowl with the cooked egg noodles, add the onion mixture along with some honey, roasted garlic cloves, Dijon, cider vinegar, and sour cream. Stir well to combine before scraping into the prepared baking dish.
Whisk the reserved 2 tablespoons of brown butter with sweet, hot, or a combination of both paprikas and drizzle back and forth atop the kugel. I also like to sprinkle a bit of additional paprika at this point, however it is not required.
Bake the kugel in center position for 35 to 45 minutes. I begin testing at 35 and find I rarely go beyond this to prevent the kugel from drying out.