Olive oil
Olive oil is in 15 recipes and almost never for frying the patty. Its smoke point is well below the temperature a good sear needs, and heated past it the flavour turns bitter and acrid. Where it belongs here is everything cooked gently or not at all: dressings, sauces, slow-cooked onions and peppers, and brushing vegetables before grilling. Recipes on this site that call for high heat specify a neutral oil instead, and the substitution is not optional.
Often goes with
Recipes with olive oil

Portobello Mushroom Burgers

McDonald's McArabia (Copycat)

Sloppy Joe Smash Burgers

Bologna Sliders with Fried Onions

Venison Bacon Burgers

Pork Dumpling Hamburger Sliders

Quinoa Black Bean Burgers

Delicious Grilled Hamburgers

Chicken Parm Burgers

Ultimate Thanksgiving Leftovers Burger

Greek Hamburgers (Bifteki)

Chimichurri Chicken Burgers

Chicken Burger (Natalia)

Fajita Cheeseburger

Mushroom Veggie Burger