I am not familiar with the details of LED lifespan, but a “white LED” in particular is not just an LED; it is a blue LED coated with down-converting phosphors to create a white color mix. Those phosphors have significantly shorter life, as noted in the article.

Also, any physical object will decay over time, so I'm not sure how good an example of a thing-which-can-change-state-but-has-no-memory can exist.