But you also need to look at the OTHER side of it. Neutrino WAS invented exactly that way, to account for the missing momentum in beta decay. It was years before its existence was verified.
People seem to forget, or simply don't understand, the process of discovery. When you see something new, the first thing you try to do is to try and figure it out using the available tools and knowledge that you know works. It is when, after you try and try, that it can't work, and then somebody comes along and proposed something new that not only explain the new discovery, but also all the previous existing understanding, that's when we have expanded our knowledge!
Is there compelling evidence for the existence of dark matter? Sure! But is dark matter verified? No! If it is, then we will have zero reason to spend all the millions of dollars/euros/yen/etc. in the numerous different experiments to detect dark matter. I wish the General Public has a bit more of a sense that we are STILL in the middle of the discovery phase in understanding this. This could change, and in fact, I am sure that things WILL change as we learn more and more about how to explain the observations that we currently have.
But does not detract for the fact that, while we have not make any discovery yet on the existence of dark matter, based on what we have observed, we know what it has and doesn't have. We have a list of characteristics, a phenomenological model, of this dark matter. So if someone asks "what is dark matter", the appropriate response will be to describe what we know about it so far!
Zz.