Bring a large pot of salted water to a boil. Add the potatoes and cook until just tender, about 8 minutes. Drain and let cool slightly.
Meanwhile, in a small bowl, whisk the mayonnaise, vinegar, mustard, hot sauce, sugar, 1/2 teaspoon paprika, salt and pepper. Place the warm potatoes in a large mixing bowl, pour over dressing, and toss gently to combine. Gently blend in the celery, scallions, and chopped eggs. Let cool to room temperature.
Sprinkle with additional paprika and serve.
Notes
Instead of the baby potatoes, you can use 3 pounds Yukon Gold or other firm waxy potatoes, scrubbed or peeled, and cut into 1/2- to 3/4-inch cubes.
Storage
Deviled egg potato salad should be stored in an airtight container in the refrigerator within a couple of hours of making it. Try to eat it within 4 days for the best flavor, consistency, and safety. Avoid freezing potato salad, as the texture of the eggs and mayo can become watery or grainy after thawing.