Preheat the oven to 400°F and generously grease a 12-cup muffin tin with butter for crisp golden edges.
In a large bowl, whisk together the cornmeal, flour, sugar, baking powder, baking soda and salt.
Blend the cottage cheese, eggs, milk and honey until completely smooth. Add the melted butter and pulse 2-3 times to combine.
Pour the wet mixture into the dry ingredients and stir just until combined. Let the batter rest for 10 minutes so the cornmeal softens, which makes the crumb tender instead of gritty.
Divide the batter among the cups, filling them nearly to the top.
Bake for 15-18 minutes, until golden brown and the tops spring back when lightly pressed.
While the muffins bake, melt the butter with the honey. Brush generously over the hot muffins, sprinkle with flaky salt and cool for 5 minutes in the pan before serving warm.