You can't turn off the right side measurement block on the Agilent, it's there permanently. On the plus side, what it does mean is that if you have the display in Roll mode, the trace is properly aligned with the right side of the graticule.
On the Rigol, if you have the right side menu enabled, it actually obscures two grid squares, which means there's a lag between the input signal and the change being visible on screen.
It's the difference in the cursor response that I find most dramatic between the two - the Agilent is smooth, responsive and easy to use, while the Rigol is the exact opposite. Since I tend to use the cursors all the time instead of the built-in measurements, the difference is a major time saver for me.