Heat oven to 350. In a large bowl, beat the 1/2 cup plus 6 tablespoons of softened butter and sugars on medium speed until creamy.
Add eggs, and vanilla, and beat well. Add combined flour, baking soda, cinnamon and salt, mix well. Add oats, shredded apple, and Nestle Butterscotch pieces and mix well.
Drop dough by rounded tablespoonfulls onto an ungreased cookie sheet. Bake 10 to 12 min, or until the edges are starting to brown.
Remove the cookies and let them cool. As they're cooling, heat 1/2 cup butterscotch chips with 1/4 cup whipping cream and a pinch of salt or two.
In a separate pan, combine the 6 oz. of butterscotch chips with the 1/4 cup of whipping cream. Stir with whisk on stove top until mixture is melted and creamy. Remove from heat and let cool about 1/2 hour.
Once cookies are completely cooled, drizzle tops with butterscotch ganache, then lightly sprinkle with sea salt and serve.
If you let the ganache cool a little longer, it will lighten in color and look prettier but will be slightly harder to drizzle.