I would not call this "horrendous mistake", and I disagree with Conifold's statement that the reason was canonization by the Catholic Church.
It is easier to disprove Conifold's statement, so let me begin with this.
Canonization of Aristotle begins at the times of Thomas Aquinas (13 century),
AFTER 1000 years of the Dark Age, and about 200 years before the renaissance of science started. Actually incorporation of Aristotle into the official church teaching is considered a great progress by some historians (when compared with the Dark Age). Aristotle at least did not doubt that the Earth is spherical, as some Christian "scientists" did.
Second, the Muslim scientific thought was dominated by Aristotle, as much as
the later Christian thought,
since much earlier time, since its origin, and this has nothing to do with Christian church, of course. Let me add that Aristotle was dominating the thought already in the late antiquity, long before the introduction of Christianity in the Empire.
To answer the question itself is somewhat more difficult because OUR thought is dominated by something else, let me call it "Baconian tradition", I do not insist on the name, this is just a label.
The statements that scientific theories have to be verified by experiments and observations, and that this is the main criterion of truth, is FAR from being self-evident. It was actually a great discovery, made approximately in 16 century, and the precise formulation is associated with the name of Francis Bacon
in the English-speaking world, at least.
I emphasize that this was a GREAT DISCOVERY, the thing which is hard to understand to modern people, because of the way we were educated. We tend to think that this is something self-evident.
But science, as we understand it now, really never existed before in this form.
Of course there was some great science in antiquity but it was different. People THOUGHT differently from what we do. The true experimental science in the modern sense did not exist. (If you disagree, tell me of ONE true physical experiment described in ancient Greek or Roman books. I know only one, but a closer examination proves that this really was a "thought experiment" :-)
The modern period in science lasts less 400 years. Most of the time in history, in most of the places the idea that "experiment is the criterion of truth"
would sound weird and incomprehensible. What we call "Dark Age" is more normal and typical than what we see in the last 400 years, from the point of view of the whole history.
Even at the times of Galileo, one could hear objections to what he said of the type: This cannot be true BECAUSE this contradicts Aristotle (or worse, contradicts the Scriptures). And some people refused to look in the telescope, saying that all these are "tricks" etc.
Even at this time there are people who would say this, that something contradicts the Scriptures, or Quran, or Engels, or whatever other authority, THEREFORE it cannot be true.