Preheat the oven to 375 degrees. Prepare two 9 X 13 pans by spraying with cooking spray, then lining with parchment, then spray the parchment lightly with cooking spray. Make sure to leave a little parchment hanging over the ends of the pan to use as handles. Set aside.
In a medium bowl, whisk together the regular salt, the coarse salt (if you are using), nutmeg, baking soda, cinnamon, and flour.
With your mixer, cream both sugars and the butter until fully mixed and smooth. Add the eggs and the vanilla and mix again until fully combined.
Add the flour mixture to the butter mixture and mix on low, only until you do not see any streaks of flour.
Add the oats and mix on low again just until combined.
Divide the dough as equally as possible between the two prepared pans and spread to completely cover the bottom. Use your hands or a spatula for this. It helps to dip your fingers in water or spray your hands with cooking spray because this dough is sticky.
Put both pans in your oven side-by-side but not touching and bake for 10 to 12 minutes. You want for the end result to be a light golden color with no raw spots in the middle.
Let the bars cool in the pans for about 15 minutes and then use the parchment to lift them carefully from the pans and place on a cooling rack. Let them cool completely while still on the parchment paper