In a mixing bowl, combine the warmed whole milk and honey. Sprinkle the active dry yeast over the mixture and let it sit for about 5-10 minutes until it becomes frothy.
In another large bowl, whisk together the all-purpose flour, sugar, and kosher salt.
Once the yeast mixture is frothy, add it to the bowl of dry ingredients along with the eggs and softened butter. Mix until a shaggy dough forms.
Transfer the dough to a floured surface and knead for about 8-10 minutes until it becomes smooth and elastic. If using a stand mixer, knead with a dough hook for about 5-7 minutes.
Place the dough in a greased bowl and cover it with plastic wrap or a kitchen towel. Let it rise in a warm place for about 1-2 hours, or until it has doubled in size.
Once the dough has risen, punch it down to release the air. Divide the dough into 12 equal pieces and shape each piece into a ball. Grease your skillet generously with extra butter and arrange the rolls in the skillet.
Cover the skillet with a towel and let the rolls rise again for about 30-45 minutes until they puff up.
While the rolls are rising, preheat your oven to 350°F (175°C).
Once the rolls have risen, brush the tops with the beaten egg mixed with water for a beautiful glaze.
Bake the rolls in the preheated oven for 25-30 minutes, or until they are golden brown.
While the rolls are baking, mix the salted butter with maple syrup in a small bowl until well combined.
Once the rolls are baked, remove them from the oven and immediately brush them with the salted maple butter. Sprinkle with flaky salt for that perfect finish.