In a small bowl, whisk together the large eggs, egg whites, sea salt, and black pepper until well combined.
Finely dice the red onion and chop the fresh dill; tear the smoked salmon into bite-sized pieces.
Heat a non-stick skillet over medium-low heat and add the ghee.
Add the red onion to the skillet and sauté for 2 minutes until translucent.
Add the baby spinach to the pan and cook for 1 minute until just wilted, then push to the side of the pan or remove and set on a plate.
Pour the egg mixture into the skillet and let sit for 30 seconds before gently stirring with a spatula to create soft curds.
When the eggs are nearly set but still slightly moist, fold in the smoked salmon, fresh dill, and capers.
Remove from heat immediately to prevent overcooking and serve the scramble over the wilted spinach.