Some paper is different than others. Some ad paper that I get in the mail is glossy and seems almost wet when I pick it up (in a dry air conditioned room). It flops around and crumples funny. Really horrible low quality paper. That stuff cuts ok with the grain, but is nearly impossible to cut properly against the grain. It tears, even with a rather sharp blade.
Typical phonebook paper will cut with the grain with a blade that is fairly sharp. To cut phonebook against the grain, you need a REALLY cleanly deburred edge. Most factory edges are not cleanly deburred. I find burrs on most factory edges I check.
Have you noticed that your angle of attack on the paper makes a difference too? Cutting at an angle is much easier than at 90 degrees to the paper. In fact, tilting the blade in any of 3 dimensions makes it easier. The most difficult cut is with the blade at perfect 90 degree angles in all three dimensions. Try it!
Against the grain, this pure 90 degree cut is very difficult indeed. I can do it with a highly polished edge. With a regular toothy edge, I can't really do a pure 90 degree cut. I have to angle in some direction to get it to cut.
Maybe I should do a video on this...
Brian.