...or visually impaired and thus use those announcements to understand what state the lift is in.
They sometimes even make things worse. Especially on bilingual elevators (not that uncommon in European countries where English isn't an official language), there are so many announcements that the elevator just can't keep up when there's a lot of traffic. I've seen a few elevators that were always a few announcements behind during periods of high activity.
The "lift (elevator) going up / down" announcements, on the other hand, are quite helpful, and I vastly prefer the European system than the American mess of ADA-compliant beeps.
Why are the pavements at crossings so bumpy?! It's political correctness gone mad!
...but only in lifts in the UK? No, that's not a credible hypothesis.