I was more thinking of things like surface area. At a certain point, once the sweat starts pooling, the sweat to evaporation ratio goes down (since it can only evaporate at the surface, which is further away from the skin, so now sweat is also insulating).
And the point of evaporative cooling isn't that sweat is taking heat away from the body through contact heat transfer. Evaporation actually uses heat for the phase change, which means that a single drop of sweat will pull heat out of your body through standard heat transfer. And if it drips. then it has just pulled that heat away. If it evaporates, it will actively pull even more heat away. Which is why wet-bulb temps can be below ambient. If the sweat drips, you don't get the evaporation benefits. So if you sweat to the point that you are dripping, I would have to believe that you wouldn't hit the ideal wet-bulb temps, and would thus be hotter.
And the point of evaporative cooling isn't that sweat is taking heat away from the body through contact heat transfer. Evaporation actually uses heat for the phase change, which means that a single drop of sweat will pull heat out of your body through standard heat transfer. And if it drips. then it has just pulled that heat away. If it evaporates, it will actively pull even more heat away. Which is why wet-bulb temps can be below ambient. If the sweat drips, you don't get the evaporation benefits. So if you sweat to the point that you are dripping, I would have to believe that you wouldn't hit the ideal wet-bulb temps, and would thus be hotter.