01 - Trim the root end just enough so each onion stands upright while staying intact. Peel the outer skin. Cut 4 to 6 vertical slices from top to root, stopping about ¼ inch from the base to keep the layers connected. Rotate and add more cuts to form 8 to 12 petals. Gently fan the petals apart with your fingers.
02 - Combine the flour, cornstarch, smoked paprika, garlic powder, onion powder, salt, black pepper, and cayenne in a shallow bowl. In a second bowl, whisk together the eggs and whole milk until smooth.
03 - Dredge each scored onion in the flour mixture, ensuring every petal is well coated. Shake off the excess, then submerge in the egg-milk wash. Transfer back to the flour mixture and press gently to adhere the coating to all surfaces and between the petals.
04 - Pour vegetable oil into a deep pot or fryer and heat to 350°F.
05 - Lower one or two onions into the hot oil cut-side down. Fry for 2 to 3 minutes until the underside turns golden, then flip and continue frying for another 2 to 3 minutes until the coating is crisp and the onion is cooked through.
06 - Lift the fried onions out with a slotted spoon and set them on paper towels to drain. Sprinkle lightly with extra salt while still hot if desired.
07 - Stir together the mayonnaise, ketchup, prepared horseradish, smoked paprika, garlic powder, lemon juice, and a pinch of salt in a small bowl until evenly combined.
08 - Arrange the hot mini bloomin onions on a serving plate alongside the dipping sauce. For variety, offer ranch dressing or spicy aioli as additional options.