To make the mustard vinaigrette:
In a small bowl, whisk the Dijon mustard with the white wine, kosher salt and black pepper. Add the olive oil in small batches, whisking to blend together.
To make the potato salad:
Place the potatoes on a rimmed baking sheet lined with a Silpat or foil. Cut the potatoes so that they’re all about the same size if needed. Toss with the 2 tablespoons of olive oil and spread out evenly on the pan. Sprinkle with ½ teaspoon kosher salt and ¼ teaspoon pepper. Roast in a 400-degree oven for about 40 minutes, or until very tender and cooked through.
While the potatoes roast, mix the chicken stock and the vinegar together in a large bowl.
Remove the potatoes from the oven and while still hot, using a potato masher or the back of a spoon, press the potatoes to flatten slightly.
Add the potatoes to the large bowl and toss in the chicken stock and vinegar, stirring occasionally until all the liquid has been soaked up by the potatoes.
Pour the vinaigrette over the potatoes, stirring to coat. There will be extra dressing in the bottom of the bowl, but the potatoes will continue to soak it up.
Toss in the scallions, parsley, basil, and dill along with the remaining ½ teaspoon kosher salt and the ¼ teaspoon black pepper, adding more to your suit taste. Stir to mix well.