A level showing the ends high? I guess it would if the shaft was geometrically straight and then you used a level at the end. The level would show the end tilting ever-so-slightly down in the direction of the center of the shaft length.
I have performed the following gedanken experiment:
Imagine that you were to build a very large, smooth, pefectly flat platform that was absolutely level in its center. Let’s say that the platform was 1000 feet in diameter. Put a ball bearing on the platform at its edge.
Q: What, if anything, would the ball bearing do?
A: It would roll toward the center, just as if the (perfectly flag) platform were slightly dished toward the center.
(True, I don’t get out much.)
I can picture the ball bearing rolling toward the center of gravity due to the center being gravitationaly “lower”. Used to do a lot of thinking/playing like that but the need to earn a living has tarnished the glow - keep up the active mindset.