Drain the cottage cheese for 20 minutes. Preheat the oven to 375 degrees F and lightly coat two 12-cup mini muffin pans with cooking spray.
Press one wonton wrapper into each muffin cup and brush the exposed edges lightly with avocado oil. Bake for 5 minutes, until the wrappers begin to hold their shape.
Blend the drained cottage cheese and cream cheese until thick and mostly smooth. Transfer the mixture to a bowl.
Fold the crabmeat, green onions, Worcestershire sauce, soy sauce, sesame oil, garlic powder, and black pepper into the cottage cheese mixture, keeping some pieces of crab intact.
Divide the crab filling among the partially baked wonton cups. Bake for another 10 to 12 minutes, until the filling is hot and the wonton edges are crisp and golden.
Stir the sweet chili sauce and lime juice together. Rest the cups for 5 minutes, then remove them from the pans and finish with the sauce and sesame seeds.