Can I apply any random dispersion paint on a textured roller plaster, or do I have to use a "special" paint?
You just have to make sure that the first coat (brush plaster) is compatible with the second coat. I applied it back then with a wide brush/paintbrush in a cross stroke, which we liked. This creates a fine structure that covers substrate imperfections well. It worked perfectly fine even in the corners; I would only recommend that the same person do it per wall continuously, so you don't see different "strokes" afterwards. Using a roller sounds more complicated to me; in a video I saw that you first apply the brush plaster (roll it on) and then use a "finish roller" (there are all kinds) to create the desired texture. We did not have to apply it with a trowel/putty knife. The Haering brush plaster probably does not differ much in processing from others.
For the ceiling, I took 2 mm at the time, which was not so good, also because the grains did not distribute well there and basically nests with more sand formed on the ceiling.
Therefore, my favorite for that is a wide brush.
I really find it very unfortunate that Q2 varies and thus no binding recommendations are possible for non-professionals like me.
People are the ones doing the work and, of course, different craftsmanship skills also prevail. In your place, I would rather consider what goal I have and whether I want it baby-smooth. With plaster, you should not forget (and drywall as well) that depending on the lighting, you will see some things afterwards anyway, whether it's a few waves, putty work, etc.
I foolishly had "ready to wallpaper" as the quality level appraised, and now I see that you could ultimately wallpaper over anything. In some places there probably is this Q2, elsewhere we probably need to step backward in the alphabet; seen over the entire surface, it hardly shows anymore. :D