Not only have you made the leap from theism to religion, you’ve gone from religion in general to a particular (arguably fringe) belief within the body of religious thought. And, you haven’t identified what’s wrong with that particular belief, other than an implied appeal to outrage.
Theism does not equal religion, even though it often follows.
Religion does not equal one particular religious belief.
Also, you haven’t identified how to determine whether a particular religious belief is correct or not. If you think that the best way of learning about the world is through research based on the scientific method, then you have a belief based on aesthetics. And, if you say that the science has demonstrated its validity, I would agree with you but only because I share your belief, not because I have an argument that proves it.
What leads to the distortion in your example is not a belief in God but a belief that the Bible is the inerrrant “Word of God”. Are the two connected? Yes, but I’m sure you’ll agree that theism does not directly lead to a belief in Biblical inerrancy.
In this thread, I’ve been saying that atheism, though not directly connected to other beliefs, is connected to beliefs about the world and about how to understand the world.
As for your statement that you don’t know of any such bizarre distortion of an atheist’s beliefs due to atheism, I appreciate your frankness but, again, I think you’ll agree that an appeal to ignorance is not valid support for a claim, which in this case was Anduril’s claim that it is easier to connect biases to a theist’s beliefs than it is to atheist’s beliefs.
Atheism is often connected to naturalism, although it doesn’t have to be. But, when it is, it can lead to the belief that natural explanations are superior to supernatural explanations. Throughout history, there have been many natural explanations that have turned out to be wrong. Spontaneous generation, phlogiston, and ether are three. Phrenology, social darwinism, eugenics three more. Even today, there are supposedly naturalistic explanations that I would say are distortions, some of which claim to be backed by science, eg. astrology and homeopathy. Now, you could say that science is self-correcting, in contrast with religious dogma, but I think you’ll agree that scientists have demonstrated dogmatic beliefs, and, conversely, some religions have changed (or even “improved”) over the years.
In any case, the discussion has (as it often does) moved from atheism vs theism to religion vs science. And that’s kind of my point here: In practice, atheism is more than “just not believing in God/gods.”