The description of the Japanese woodblock printing process in https://education.asianart.org/resources/the-ukiyo-e-woodblo... says that the artist's initial drawing is pasted face down on the woodblock, which is then carved to match it. So (unless I've got myself confused) the final print will be the same way round as the artist's drawing. This also means that text in the image (like the title and the artist's signature) come out the right way round.
