Start by making the lemony breadcrumbs. Heat the olive oil in a sauté pan over medium-high heat. Once the oil is hot, add the panko breadcrumbs and cook, stirring often, until golden and crispy, 3 to 5 minutes. Remove from the heat. Stir in the lemon zest, garlic powder, red pepper flakes and salt, and mix to combine. Set the breadcrumbs and the sauté pan aside.
Meanwhile, cook pasta until al dented according to directions. Before draining, reserve 1 cup of the pasta water. Drain and set aside.
Place 1 cup of the olives in a food processor, along with 1/3 cup parsley, capers, red pepper flakes, salt, and pepper and pulse until a thick, clumpy paste forms. Taste and adjust seasonings, if necessary. Roughly chop the reserved cup of olives.
In the same pan you prepare the breadcrumbs in, heat the vegan butter over medium heat. Once melted, add the fresh minced garlic and sauté until fragrant, 1 to 2 minutes.
Add the olive mixture and roughly chopped olives, parmesan, and ¼ cup of the reserved pasta water to the pan, stirring constantly. Continue to cook, stirring often, until the parmesan melts throughout. If the sauce seems too thick, feel free to add water ¼ cup at a time until you reach the desired consistency (I end up using about ½ cup).
Off the heat, stir in the al dente pasta and fresh lemon juice, mixing until it’s fully coated in the sauce.
Garnish with the lemony breadcrumbs, vegan parmesan and fresh minced parsley, and enjoy!!!