Bring a large pot of salted water to a boil and cook the pasta until just al dente, about 8-10 minutes. Drain and set aside.
While the pasta cooks, drain the soaked cashews and add them to a blender along with canned tomatoes, peeled garlic, nutritional yeast, lemon juice, water, and a pinch of salt and pepper.
Blend everything on high until the mixture is completely smooth and velvety, with no chunks remaining. This should take about 1-2 minutes, and the sauce will be thick and creamy.
Pour the blended sauce into a large skillet and warm it over medium heat for about 5 minutes, stirring occasionally, until fragrant and slightly bubbling.
If the sauce seems too thick, stir in a little reserved pasta water, a tablespoon at a time, until it reaches a silky, coat-the-spoon consistency.
Add the cooked pasta directly into the skillet with the sauce and toss gently to coat each piece evenly, allowing the flavors to meld for about 2 minutes.
Taste and adjust seasoning with more salt, pepper, or lemon juice as desired. Finally, stir in the torn basil for a burst of fresh herbal aroma.
Serve immediately, garnished with extra basil if you like, and enjoy the creamy, vibrant flavors of this vegan pasta.