But the reference to "cheap printing presses" has to be interpreted as actually being a reference to type, as you have already done with your archive.org link. The press itself cannot either support or fail to support any graphical forms; there's no difference in the press whether you're using type or block printing.

Press quality issues are things like "are the surfaces flat" / "how much pressure can the press apply" / "how many pages can we press before running into a mechanical issue".