I don't know. I saw the clips and I saw linear.
Maybe this link will help...
http://www.grand-illusions.com/woman.htm Kidding aside, is the "straight" hand path more of a relative thing? I.e., take a "straighter" approach to the ball than simply following the rotation of your body?
Anyway, my son just started lessons with a respected teacher who played college ball for an ACC team and 7 seasons professionally. His claim to fame was being a hitter. I saw his showcase team play and each player could put wood on the ball quite well.
So, at the lesson, they matched up a video of my son to video of an MLB hitter and tweaked a number of things. One of the first things they wanted to adjust was to make him more of a "linear" hitter than a "circular" hitter. What I saw on the Rose clip looked like what my son described to me that he was being taught.
Whatever they did, my son is now hitting balls off the tee on a rope to a small target on the back of the cage (a very long cage). He's also seen dramatic improvement in hitting pitches. He seems happy with it.