In a small skillet over medium to medium-low heat, warm the olive oil or melt butter. Add onions and season with salt and white pepper; add bay and cook low and slow until caramelized. Add stock and cook to evaporate; let cool.
In a small bowl, combine caramelized onions with crème fraiche or sour cream.
In a mixing bowl, combine beef with Worcestershire sauce and season with Kosher salt and black pepper. Make 4 very thin patties and drizzle with oil. Heat a griddle pan and cook patties 8 minutes, turning occasionally. Wipe griddle clean.
Lightly butter the bread on one side. With the buttered sides facing out, build patty melts with relish, 1 slice cheese, burger patty, 1 handful chips, some of the sour cream and onion dip, another slice of cheese and more relish; top with bread.
Grill the patty melts to deeply golden and melty. Cut in half and serve.