Step 1
Make the mayonnaise: In a big bowl, whisk collectively the mustard, vinegar, salt, white pepper, and egg yolks. Whisking constantly, very step by step add the oil, beginning with a number of drops at a time, till all of the oil is integrated and a thick sauce types. (Alternatively, in a meals processor or blender, pulse collectively the mustard, vinegar, salt, white pepper, egg yolks, and 1 tablespoon of chilly water. With the motor operating, in a gradual, regular stream, add the oil and mix till thick.) Scrape right into a bowl, cowl, and refrigerate till prepared to make use of.
Step 2
Make the eggs: Right into a medium pot of boiling water, gently decrease the eggs. Deliver the water again to a boil, then flip the warmth to medium-high and simmer for precisely 9 minutes. Pour out the new water and shake the pan to crack the eggshells. Fill the pot with chilly water and ice and put aside to chill.
Step 3
In a small bowl, stir collectively the ketchup, a number of dashes of sizzling sauce (or to style), 3 tablespoons of the reserved mayonnaise, and chilly water as wanted to make a thick, pourable sauce.
Step 4
Shell the eggs and halve them lengthwise. On 4 plates, make beds of lettuce if desired. Divide the eggs evenly cut-side down among the many plates, then spoon evenly with the ketchup-mayo sauce and prime with the anchovies, capers, and onion.