Sharpeners and lead pointers are giant rabbit holes and I’ve barely touched the surface of the many amazing lead pointers out there. I happened to luck into finding the KUM-onit 233 and 250 pretty early on and they give me a very nice point that I like for my general use or writing and light sketching. The Kitaboshi is garbage for writing but it is nice for sketching particularly if you are shading. The KUM automatic with included lead pointers is okay in a pinch but not my favorite.
The 2mm lead in all image is Staedtler Lumograph HB, what I have on hand at this moment.