Combine butter, lemon juice, cumin, and honey in a small bowl (no need to stir them together, just measure them into a bowl together). Set aside.
Pat fish dry with paper towels. Stir cornstarch, Cajun seasoning, and black pepper into fish stir until evenly coated. Refrigerate until ready to use.
Heat a large skillet with 1 Tablespoon cooking oil over medium heat. When oil is shimmering, add bell peppers and onions with a pinch of salt. Saute until very tender, 4 to 5 minutes. Set aside, covered to keep warm.
Return skillet to heat and add remaining 2 Tablespoons cooking oil. Working in batches (and adding more oil as needed) sear fish until flakey and cooked through, 2 to 3 minutes per side. Transfer fish to the covered bowl with peppers and onions.
When all of the fish is cooked, add butter-lemon juice mixture to heated skillet. Cook, scraping up any browned bits on the bottom of the pan, until butter is completely melted and sizzling.
Remove pan from heat and stir in green onions. Pour butter sauce over fish and peppers.
Serve fish and peppers over polenta, grits, rice, quinoa, or couscous.