I've been trying to recreate this non-vegan hamburger-mayonnaise-like thing in the past couple of weeks with aquafaba.Ya'll I made aqua faba last night for the first time. This is some game changing shit for me.
Basically, it has a few tablespoons of aquafaba, garlic (to taste), a hefty dosage of paprika, lemon juice, a few slices of pickles, dijon mustard, salt, a little bit of sugar & as much rapeseed oil (or other fairly neutral tasting oil) as it takes to make it thick (with these amounts, 2-3dls usually). Pretty easy to make. Just put everything except the oil into a tall container, quickly mix it with a stick blender, then start pouring the oil in slowly while the stickblender is running to thicken it into a mayonnaise like thing.