More importantly, lift systems are not sensitive to long duration dates. They do not need to be.
This story reflects one of the myths that emerged from the media. Around 1997 they started discovering the topic of embedded systems and that many devices, including lifts, contained "computers." Not understanding the restricted and specialized nature of embedded systems, they then claimed all these systems were vulnerable to Y2K, and that the whole world was about to crash.
Most embedded systems, in lifts and other devices, had been designed in the 1990s. If they used dates, they did not use mistakes from the 1960s.