Preheat the broiler to high. Arrange the cut slider rolls face up on a baking sheet and top each with a thin slice of butter. Broil the buns for 1-2 minutes until lightly golden, and set aside.
Meanwhile, make the aioli. Combine the mayo, mustard, and 1 teaspoon of the Worcestershire sauce. Taste, and add a sprinkle of salt if you'd like.
Combine the beef with the remaining tablespoon of Worcestershire sauce and the salt. Form into 16 thin patties, each slightly larger than the slider buns. Top 8 of the patties with 2 squares of the swiss, then place another patty on top to form a sandwich. Press the edges of the burgers together so you end up with 8 slider-sized burgers stuffed with 2 squares of swiss cheese each.
Preheat 1 tablespoon of butter in a cast iron skillet. Working in batches if you need to, griddle the sliders for about 3 minutes on each side until browned on the outside and warm on the inside.
Layer the slider buns with lettuce, pickles, aioli, and a burger. EAT.