Preheat the oven to 200ºF and line a rimmed baking sheet with foil. Transfer salmon to the sheet, season with soy and sweetener and bake for 20 minutes, or until the fish is just beginning to flake, or registers 120ºF inside. It will have a more raw appearance but be cooked at this point.
While the fish cooks, prepare the sauce. Heat half the butter and the shallots with a generous pinch of salt in a large nonstick pan. Cook until the shallots are soft and translucent, about 5 minutes. Add the wine, if using and chicken stock to the pan. Bring the sauce to a simmer and reduce by half. Whisk in remaining butter to form a smooth sauce and then off heat, stir in lemon juice, capers, and parsley. Season to taste with salt and pepper and serve over salmon.
Combine all salad ingredients in a large bowl and toss to combine. Season to taste with salt and pepper and serve along with the salmon.