Mix softened butter with garlic, parsley, chives, smoked paprika, chili flakes, salt, and lime juice until fully combined. Set aside at room temperature. Can be made up to 3 days ahead and refrigerated.
Husk the corn fully and remove silk with a damp paper towel. Rub each cob lightly with oil and season with salt and pepper.
Preheat grill to medium-high (400–450°F). Clean and oil the grates well before adding the corn.
Place corn directly on the grates. Grill for 10–12 minutes, turning every 2–3 minutes, until charred in patches and kernels are blistered and slightly shrunken.
Remove corn from the grill immediately. Apply herb butter generously while hot, turning to coat all sides. Finish with flaky salt, fresh herbs, and a squeeze of lime. Serve immediately.