Set the oven's temperature to precisely 350 degrees Fahrenheit and allow it to attain the set temperature.
In a large, sterile mixing bowl, diligently whisk the eggs, buttermilk, and vanilla extract together until the mixture reaches a consistent and thick texture.
In a separate mixing bowl, systematically combine the granulated sugar, room-temperature melted butter, cornstarch, and salt, ensuring an even distribution of all components.
Meticulously merge the two prepared mixtures, whisking continuously to achieve a seamless blend.
Carefully pour the resulting mixture into the unbaked pie crust, ensuring an even spread.
Place the pie in the preheated oven and allow it to bake for approximately 55 minutes. However, be vigilant, as the exact duration may vary based on oven specifications.
Once baked to perfection, remove the pie and set it aside to cool to room temperature.
For optimal enjoyment, serve the pie either chilled or maintained at room temperature.