I'm waiting for someone to explain why so many seem so sure that it actually is some form of exotic matter.
You'll forgive me for believing that that is a lie, because this has been explained many, many times. On the balance of probabilities, you are an irrational nutjob who is resistant to any actual explanation or evidence.
That said, I'll waste few minutes of my precious time pretending your question is sincere and you have a non-zero chance of changing your mind.
The reason why we focus on exotic matter is because observational evidence for a source of anomalous gravitational attraction is robust and diverse and alternative theories have either failed to account for it, or have failed other observational tests.
It isn't as if we have a single measurement on one system. We have detailed measurements of the rotation curves of many spiral galaxies. We have the motion of galaxies in clusters. We have the motion of clusters themselves. We have gravitational lensing studies--which probe the dark matter distribution in a completely different way from dynamical studies. We have cosmological simulations that can't explain galaxy formation without dark matter. We have structure in the cosmic microwave background that is evidence for dark matter, in that it can be explained easily with it, but only with great difficulty without, just as hearing a dog bark is evidence for a dog because a dog easily explains barking, while alternative explanations have much lower priors and so are less plausible. To deny this is to deny Bayes.
Did I have to dig deeply into some mysterious literature to find this? No. I had to look at Wikipedia: https://en.wikipedia.org/wiki/...
Do you see why I think your question is dishonest?
So that makes "maybe the measurements are in error" much less plausible than "dark matter exists".
With regard to new physics, the problem is that the low-hanging fruit have been picked, and what remains has a hard time explaining all the diverse observational evidence. It is hard to find a theory that explains all the phenomena that are observed that is not "there is some kind of exotic matter out there". None-the-less, we are actively testing a few such theories. Again from Wikipedia: https://en.wikipedia.org/wiki/...
So now your question has been answered. You need wait no more. You can either change your mind, and agree that dark matter is the most plausible explanation of the robust and diverse observations, or you can explain why you find some alternative hypothesis more plausible. But you can never again honestly ask, "Why don't people take observational error or alternative theories more seriously?"