Place whole red peppers directly over a gas flame, turning with tongs until charred on all sides — about 8–10 minutes. Or broil on a baking sheet at high heat for 20–25 minutes, turning once. Transfer to a bowl, cover with plastic wrap, and steam for 15 minutes. Peel off the skins, remove stems and seeds. Do not rinse. If using jarred peppers, drain and pat dry.
Spread walnuts in a dry skillet over medium heat. Stir frequently for 3–4 minutes until fragrant and slightly darker. Remove immediately and let cool.
Add roasted peppers, toasted walnuts, breadcrumbs, pomegranate molasses, lemon juice, garlic, Aleppo pepper, cumin, smoked paprika, and salt to a food processor. Pulse to break down roughly, then process on high for 30 seconds. With the processor running, drizzle in olive oil slowly. Scrape down the sides and process 20–30 seconds more. The dip should have texture — not completely smooth.
Taste and balance — add more lemon juice if too sweet, more pomegranate molasses if too sharp, more Aleppo pepper for heat. Add water 1 tablespoon at a time if too thick. Rest 10 minutes before serving.
Spread onto a plate, drizzle generously with olive oil, scatter chopped walnuts, Aleppo pepper, and parsley on top. Serve with warm pita or flatbread.
