Blind person here, I find the "doors closing" / "doors opening" announcements pretty tiresome, and I don't think they provide any benefit to us.
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.