I think they just don't fully understand the rotational physics of (for lack of a better word)"Chaotic" Spiral galaxies so they are inserting dark matter as a cure all.
One reason is because in more uniform and understandable (in regards to rotation) elliptical galaxies they do not find any of this dark matter
So why would there be dark matter in one type of galaxy but not the other? I could be wrong but I have heard that Spiral galaxies eventually turn into elliptical galaxies. If that's true then where does this dark matter go?
Right. A million years from now, all those galaxies might even turn into pork chops or something. We don't really know. However ...
I believe that many galaxies, of various ages (judged by the composition of their stars) have been observed. There seems to be none of the rotational disparity you suggest. Thus the assumption that such things remain somewhat steady over time. But you're right. We don't really know.