The problem with blanket policies like this for an entire organization is that they don't consider the type of work being done. A publicist for example has as their job to distribute information publicly, you aren't helping them by making it impossible to drop off a USB key to someone. A software developer has a need to install operating systems much more frequently than an average user. You can net-install but usb media is still a major vector.
The vast majority of people in an organization don't work with sensitive material. It makes much more sense to do this on a per department basis.
Policies like this that ignore on the ground reality and make it hard to get work done encourage abuse of the rules. When the rules are too draconian people will work around them and it encourages disrespect for other rules - especially the ones that actually do improve security.