They use LED lights in museums. I'd be more concerned with traditional artificial light fading or otherwise messing up memorabilia.
https://www.aam-us.org/2012/05/01/led-lighting/
"Unlike most other light sources used for exhibition or display, white LEDs emit no ultraviolet or infrared radiation. Ultraviolet radiation is of higher energy than visible light, so it is capable of inducing light damage at a greater rate. On the other end of the visible spectrum, LEDs radiate no infrared that can cause excessive heating and drying—a significant issue with furniture and composite structures like polychrome sculpture. Not all LED lamps are recommended for museum use, but of those that are, the LED lamp’s spectrum tends to match incandescent varieties so closely they render colors nearly identically to incandescent lamps. Thus an LED with the same color temperature as a traditional incandescent display lamp is usually a good match in color, a better choice for preservation over the long term and highly efficient."