Nope. The electrodes on the HID capsule slowly vaporize. The gap between the electrodes increase, and the output characteristics change (the electrodes produce a very blue light, and as they vaporize and deform, the output of the HID capsule can "colorshift" to being slightly bluer than it initially was).
HID bulb wear is a bigger issue than halogen bulb wear, simply because there is no filament to break. HID bulbs cannot fail from a broken filament, which is part of the reason they last so much longer. Because of this, they are often installed for a long enough time to significantly dim or colorshift. Nowadays, we see many cars from the early 2000s with 100k miles and 10 years on their factory HID reflector bulbs, which by now are far below the legal light output minimum, as well as often being colorshifted to a blue color (Philips) or a pink color (Osram).
I was unaware that there existed output degradation on aged Long Life halogen bulbs, but it is less of an issue with halogen in that, with the exception of the LL bulbs, most of the time the filament will physically break before the reduction in light output becomes significant enough to warrant replacement.