Place the frozen tater tots on a sheet pan and bake for 20 minutes. Place the sausages on a sheet pan and bake for 5 minutes.
Melt 2 tablespoons of the butter in a large skillet over medium heat. Add the onions and cook, stirring occasionally, until golden and caramelized, about 15 minutes.
Meanwhile, in a large bowl, whisk together the eggs, half-and-half, seasoned salt, and black pepper. Melt the remaining 2 tablespoons butter in a second large skillet. Add the whisked eggs and cook, stirring gently, until the eggs are set.
To assemble the burritos, stack the tortillas on a paper towel and microwave for about 30 seconds. Place a heaping spoonful of egg mixture onto the middle of a warm tortilla, top with a little caramelized onions, 1 sausage link, 3 tater tots, a little salsa, and about 2 tablespoons cheese per burrito. (You can also leave some without cheese if preferred.) Tuck in the sides and roll the tortilla closed. Wrap in a foil sheet. Repeat with the rest of the ingredients. Keep warm in the oven in foil pans until ready to serve. Serve with salsa and the hot sauces.