Pointed pen means that most of the whole nib is exposed. This kind of pen tip is relatively large. At present, most pens are sharp.
For pens with a dark nib, only a small part of the nib is exposed, and most of the nib is wrapped in the pen holder, which is also called a small tip. This kind of nib was popular from 1950s to the end of last century. For example, Pike 5 1 is a dark nib. At present, most new models of pens use bright tips, which are rarely used. Only some retro pens still use this nib.
There is also a kind of calligraphy pen, which is popular in China for writing hard pen calligraphy. In fact, the front end of the tip is bent upward to obtain rich thickness changes.
These pens mentioned above are all types of pens. Except that the calligraphy nib is a special nib, the sharp point and the dark point are different in thickness. The more common models are B (thick characters), M (Chinese characters), F (fine characters) and EF (extra fine characters).
The pen in the picture you gave me has always been a special case. Three kinds of pen tips are provided, in which the sharp point is F (0.5mm) and the dark point is EF (0.35mm). Instead of the usual pen, the nib provides a variety of thickness choices.
So let's go back to your question. Yes, there are many black nib thicknesses to choose from, but the black nib of this pen in the picture you see only gives you a very fine choice.