One hour before cooking the steaks, remove them from refrigeration and completely unpackage. Liberally season the steaks with kosher salt and freshly ground black pepper.
Let the steaks rest, uncovered, on the counter for one full hour at room temperature. **If time allows, let them rest for two hours! The steaks will be even better.
While the steaks rest, prepare the herb butter by combining the softened butter with the remaining ingredients. Mold into a log and wrap in plastic wrap; refrigerate.
Preheat the oven to 500 degrees F. Place a 12-inch cast iron skillet into the oven for 10 minutes.
Remove the hot, preheated skillet from the oven and drizzle generously with olive oil; carefully add the steaks to the skillet.
For perfect medium-rare chuck eye steaks, cook the steaks, uncovered, for 5-6 minutes. Turn the steaks over in the skillet and cook for an additional 5-6 minutes, or until an instant-read meat thermometer registers 125-130 degrees at the center.
Remove the steaks from the oven and cover the skillet tightly with foil; let the steaks rest for 10 minutes, completely undisturbed.
Top each steak with a scoop or slice of the prepared herb butter and serve at once. Or, slice the steaks across the grain into thick slabs and place onto a serving platter, shingled on top of each other; top with the herb butter and enjoy.