All of these actions make the body generate useful momentum in the hara. They are, therefore, conceptually all equivalent. We get the body moving in a straight line (forward, backward, up or down) and then bleed off the momentum into technique. This is the sine qua non of linear technique.
Changing stance is not usually listed in this group, but consider that. Changing from back stance to front stance involves driving the hara almost a foot to the front. We should be alert to the idea that a stance change is a momentum engine and see where it leads us.
Reverting to the older "basic principles" of Chinese karate, it is easy to see that a stance change often generates angular momentum, the storage batter of pure rotation. Much of our linear expertise concerns taking this rotational power and converting it to linear power as we strike. Similarly, there are places in our katas where we launch a linear move and then use it to generate a swift rotation to a new direction. Linear and rotational power are interchangeable.