I’m pondering this suggestion from the comments on the recipe you linked to, @Rooster.
Richard R.November 30, 2019
put 3 eggs in a bowl. Add 1/2 teaspoon of salt. Whisk. Bring a pot of water to a boil. Make sure there’s at least 5 inches of water in the pot. Wait until it boils. Pour in the eggs and try to keep them from striking the bottom where they might stick. Cover the pot and let stand about 30 to 45 seconds. Pour the eggs into a strainer. Roll out on a plate. If moist is what you want you’ll not get a better plate of eggs and…no butter.