Cut each ear of corn in half lengthwise. Place the flat side down on your cutting board for stability. Carefully cut each half into 3-4 strips lengthwise, creating your "ribs."
In a bowl, combine melted butter, olive oil, minced garlic, half of the Parmesan cheese, smoked paprika, Italian seasoning, salt, pepper, and red pepper flakes if using. Whisk until perfectly integrated.
Preheat your grill to medium-high heat (approximately 375-400°F). If using a gas grill, heat only one side, creating a two-zone cooking environment.
Brush the corn ribs generously with the garlic-Parmesan mixture, ensuring all sides are well-coated. Place them on the grill, curved side up initially.
Grill for 3-4 minutes, then flip and grill for another 3-4 minutes. Continue turning occasionally until they're gently charred and tender, about 12-15 minutes total.
Transfer the grilled corn ribs to a serving plate. While still hot, sprinkle with the remaining Parmesan cheese, allowing it to melt slightly into the crevices. Garnish with freshly chopped parsley.
Serve with lemon wedges on the side for squeezing over the corn ribs.