I find the Amish approach to technology a very interesting one. As I understand it, they're not in principle "against" modern technology, but they carefully evaluate the potential impact of every new technology on the community. The decision is a purposeful one, governed by the criterion of the common good of the community, which in my opinion is much healthy than our free-for-all.
In this respect I find this encyclical quite lacking. It makes interesting points, and will give food for thought for people working in/with AI who might not otherwise have been exposed to these kinds of concepts. But one would expect, from a Catholic encyclical, an exposition of the principles of common good from a Catholic perspective. But in this document everything seems to be based in the concept of "human dignity", which, however useful or beautiful, has no roots in Catholic tradition: it's a purely secular idea. Nothing in the document couldn't have been written by a secular philosopher. It gives the uncomfortable impression of someone arriving late to the party, so to speak, trying hard to fit in.
The answer to the question "is this technology good or not?" can ultimately only be answered in reference to ends: it's good insofar as it helps achieve the end which is sought. The common good of the community, which AI might either help or hinder, depends ultimately on what is the the end, or purpose, of man. And it is about _this_ that the Catholic church claims to have a definite answer, a true set of propositions regarding the origin and destiny of man, not achieved by human ingenuity but directly revealed by God. Whatever can be labelled Catholic will reference that supernatural claim to divine authority; yet none of that is present in this text. It remains an interesting exercise in thought on AI and other topics, but nothing here indicates that those reflections are Catholic.