In the bowl of a stand mixer, combine the water, buttermilk, yeast, 4 T melted butter, sugar, 1 tsp fine sea salt and eggs with paddle attachment. Mix until all ingredients are combined.
Add the 4 cups of flour and mix until just combined. Switch to dough hook attachment and knead dough for 8 minutes. If dough feels excessively sticky, add a bit more and mix until incorporated.
Spray a medium sized bowl with nonstick spray. Place dough in the bowl and turn to coat all sides. Cover with a clean kitchen towel and let rise until doubled in size, about 1 & 1/2 hours.
Brush olive oil on the surface of a large cast iron pan, 11 inch skillet works best (see notes)
Turn dough out onto countertop. Scale into 24, 1.5oz pieces. Shape into round balls, pulling the dough around the top and pinching underneath. Then gently roll the dough ball on the counter to tighten the surface tension and seal the bottom seam.
Place in prepared pan, spacing them close together so that they are touching.
Cover with clean kitchen towel and let rise again until doubled in size, about 1 hour. (See notes for proof test)
Preheat oven to 375°F.
Brush the tops of the rolls with melted butter and top with salt flakes or your favorite herbs and spices. Bake for 20-24 minutes or until golden.
Leave rolls in the pan for 5 minutes. Turn pan over to release the rolls in one piece onto a wire cooling rack. Place another wire rack on the bottoms of the rolls and flip to cool right side up.
Serve and enjoy warm!