Bring a large pot of salted water to a boil and cook pasta according to package directions until al dente. Reserve half a cup of pasta water and drain.
In a mixing bowl, whisk together Greek yogurt, egg yolk, finely grated garlic, lemon juice, sea salt, and black pepper until smooth.
In a small frying pan over medium heat, melt unsalted butter. Add thinly sliced garlic and sauté while stirring until golden and crisp, about 2 to 3 minutes.
Remove pan from heat, stir in paprika or Aleppo pepper and extra virgin olive oil. Set aside.
Transfer hot drained pasta immediately to the bowl with yogurt sauce. Toss vigorously to coat, adding reserved pasta water as needed for a creamy consistency.
Divide pasta among plates, top with crispy garlic butter, and sprinkle with fresh dill or parsley if desired. Serve immediately.