I would say cutting with the cutters moving along the same plane as the direction of the
wood fibers would be ripping. Even then, cutting the fibers into short pieces by moving the cutters perpendicular to the direction of the grain is much more work than cutting at a much more acute angle to it. Imagine cutting with a chisel for perspective. End grain is much more difficult and unforgiving of dull tools.
As with a handsaw, a crosscut filing pattern will do better at ripping (usually) than a ripping pattern will do at crosscutting. Crosscutting needs a wider kerf due to the ends of the wood fibers sticking out and wanting to bind the blade. Softwoods generally need a wider kerf still, due to the greater difficulty to cleanly sever the fibers. The cleaner the fibers are cut, the better. This isn't much of an issue with ripping, because the fibers are running mostly parallel with the blade travel. Thinking about it, while the ripping chains would be better for a mill, the way you plan to do it might actually do better with a standard crosscut chain since a wider kerf may be more forgiving of guiding the bar by hand.
And he said, "I want to live as an honest man, to get all I deserve, and to give all I can, and to love a young woman whom I don't understand. Your Highness, your ways are very strange."