I didn't know that but that's the way I was taught and the way I do it. Everyone else I've run across seems to want to pull. I've done it both ways but prefer to push although in the right hands / right circumstances pulling works well. I've seen European shoemakers pull skiving against a plate of glass held to their chests.
I have a couple of the Japanese shoemakers knives and I like them in some situations. The first one I got was given to me by a Japanese shoemaker and is pretty good steel. It was the definition of "scary sharp" when I first got it. The other I bought from goodsjapan through Ebay (?) and it has a curved blade. Wasn't as sharp initially but is pretty good now...indicating that the steel is good. I have used them to cut outsole channels...pulling...but ordinarily, I push with them.