Related, there's also stone paper: https://stone-paper.nl/en/
> mixed with 20% HDPE, a clean plastic composed of carbon and hydrogen
It's much heavier than a normal notebook, and the surface is basically an extremely fine grit sandpaper. It works great with pencils and ballpoints, but wetter pens (gel, rollerball) do not dry as quick. Also, forget fountain pens. You'll be eating away your nib as I write on that paper.
I have a couple of these notebooks, but they sit unused for now.
For example Lamy’s tipping alloy is softer than others, so that polishing becomes excessive to the point of changing nib size. I have an old safari which writes broad after ten years of use (the nib is marked medium).
Pilot and Sailor uses harder tipping alloys. Schmidt is also harder than Lamy, but softer than Japanese counterparts.
(Yes, I have a lot of pens for quite some time :) )
I deliberately polished a nib once, on rough brown paper. Not Lamy, but a Pilot Metropolitan.
You can polish a Lamy by regularly using it. It becomes evident in a couple of months, and becomes buttery smooth in a year. No special treatment is necessary.
While paper feels very smooth to human skin, in fact it's not. If it was perfectly smooth, no pen or pencil could write on the surface (e.g.: pencil on a whiteboard).
Since the point of a pen nib is extremely small, even a small weight concentrates to that point and the nib tipping is under a lot of pressure even when you don't press while writing. As a result, when combined with the paper surface, the nib is polished slowly.
Again, this is very depending on the tipping alloy used by the manufacturer, and the result is different between manufacturers.