Preheat your oven to 400°F (200°C).
Wash the baby potatoes thoroughly. Pat them dry with a clean kitchen towel.
Place the potatoes on a baking sheet. Drizzle with 1 tablespoon of olive oil and season with salt and pepper. Toss to coat evenly.
Roast the potatoes in the preheated oven for 25-30 minutes, or until they are fork-tender.
Remove the potatoes from the oven and let them cool until they're comfortable to handle, about 10-15 minutes.
Cut each potato in half lengthwise. Using a small spoon or melon baller, carefully scoop out the center of each potato half, leaving a small border around the edges to maintain the shape. Place the scooped potato flesh in a medium bowl.
Arrange the hollowed potato halves on a serving platter, cut side up.
To the bowl with the potato flesh, add the remaining ingredients: vegan mayonnaise, Dijon mustard, nutritional yeast (if using), white wine vinegar, smoked paprika, garlic powder, turmeric (if using), remaining 1 tablespoon of olive oil, salt, pepper, and chopped chives.
Mash and mix until smooth and well combined. Taste and adjust seasonings if needed.
Transfer the mixture to a piping bag fitted with a star tip, or use a small spoon to fill each potato half with the mixture.
Garnish with a light sprinkle of additional smoked paprika, some chopped chives, and a small sprig of fresh dill if desired.
Refrigerate for at least 30 minutes before serving to allow the flavors to meld.