Sorry, I should have clarified. When a projector is designed for an incandescent bulb, replacing those bulbs with HIDs tends to produce a more crisp and powerful light source than LED. While HIDs are basically just creating a small omnidirectional super bright ball of light, very similar to an omnidirectional filament glowing, LED chips only like to shine in one direction, and they don't like to get hot and need to disappate the heat with a heatsink on the bank of the diode.
Problem is, if you need the LED to produce omnidirectional light, you have to sandwich at minimum two together. The closer together the two diodes are, the more it converges into a single point of light and reflects off the mirrors in proper focus BUT the closer the two diodes are, the more they cook each other to death. So there's a compromise between getting the heat away from some copper medium between them that goes to a heatsink with a fan by being thick and having less heat transfer capability by making it thin so you get a good hot spot and beam pattern and what not.
LED headlights that were designed from the getgo to be LED projectors or reflectors don't have this problem. They design the projectors so they can help focus the LEDs just shining straight forward on a sandwich board with a big ol heatsink attached to their backsides, so they run cool, efficient, and focused.
So the factory LEDs will be as good or better than factory HIDs, but when replacing factory halogen setup, HID is best and LED is improving every year but not quite as great. See the design below, there's a yellow diode on each side, and they advertise how the copper submount is only 0.06" thick, but it means they are likely to run kind of hot and a hot LED is not as bright and doesn't last as long. HIDs don't have those problems.
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