Ok, so based upon the advice so far, I've taken a closer look at the examples I have here, using a USB microscope at two different settings. Here are some closeups, in the hope it may help others with similar identification issues.
It's difficult to line up the same spot, especially at the highest magnification so I concentrated upon the corner of two stamps.
First is what I believe to be the 'chalk paper' version. Note that the closeup shows a clean line.


Next, the 'non-chalk' version. Note the fibrous nature of the paper here, and the slightly less well defined image.


I couldn't identify the 'craterous' nature of the print associated with the chalk papers, but I think that the high magnification images show the differences in the two papers quite well. The ink on the chalk paper also looks denser to me.
I'm always happy to be corrected by those who know better - it's often the only way to learn.