Moving the discussion to Photoshop Forum.
Because of the End User License Agreement you can't have more than two activations for a retail software, so yes you can uninstall and reinstall. The only thing is beforehand make sure to deactivate the software first in the Help menu and select deactivate so it doesn't increase the license activation count.
So this is something that still happens even with PSe all version of past few version. It is not a corrupt thing on the MAC version. It is a permissions issue and can normally be resolved without have to do a reinstall.
So No, you don't need to normally reinstall an app that thinks it is corrupted.