Thaw burgers in refrigerator overnight, then bring to room temperature on counter for about 15 to 20 minutes.
Gently flatten burgers out to about 1/2” thickness and generously season only one side of burger patties with salt and pepper, leaving the other side unseasoned.
Flip two burger patties seasoned side-down and place two slices of fontina cheese in the middle of the patties.
Top with the other two burger patties seasoned side-up, pressing and sealing the edges to secure the cheese in the center.
In a large cast-iron pan on medium-high heat, add vegetable oil and cook stuffed burgers 3 minutes on one side.
Add butter to pan, flip burgers, and butter baste for 30 seconds.
Continue to cook burgers for two minutes.
Top each patty with a slice of fontina cheese, add water to pan, and cover with lid; cook for 30 to 45 seconds until cheese is melted.
Remove burgers from pan.
Add about 1 tablespoon of mayonnaise to each side of bun and toast on medium-high heat in a clean pan until golden brown.
Assembly: Add ketchup, mustard, and mayonnaise to each side of burger buns. Add about 2 spoonfuls of onion jam to bottom bun, then top with three pickles, then the stuffed burger, then four bacon halves, then half a handful of potato chips, and finish with the top bun.