Redo alignment after tip rotation?

No, as long as the probe is correctly calibrated and the part has not moved, there is no need to repeat the alignment every time you index to a new wrist angle.

Not really a PC-DMIS-specific issue, but  kinematic engagement of articulating heads is less that 100.000% repeatable; with tight tolerances, one might want to either re-calibrate/autocalibrate tip with every wrist-angle change, or, as JasonD is doing, re-establish CSY.  You can see this on high-magnification profile/roundness plots when a circle is constructed with multiple tip-angles, plot may look like a saw-blade, but not so when the auto-calibrate step is added.  Just depends on tolerances.

Not really a PC-DMIS-specific issue, but  kinematic engagement of articulating heads is less that 100.000% repeatable; with tight tolerances, one might want to either re-calibrate/autocalibrate tip with every wrist-angle change, or, as JasonD is doing, re-establish CSY.  You can see this on high-magnification profile/roundness plots when a circle is constructed with multiple tip-angles, plot may look like a saw-blade, but not so when the auto-calibrate step is added.  Just depends on tolerances.