You'd like to think so, but it isn't that simple.
1. There aren't a specific number of units of anything per mL. See the
Dennis Quaid ordeal for one example.
2. The problem is that, when sloppily written, "cc" can appear like an undercase "u," which is what can cause the confusion. One hospital where I work has a poster with actual handwritten orders that are convincingly confusing and illegible. This is the best I could find online:
One could argue that if someone were dosing something by "cc's" and the order was interpreted as "u's," it would make no sense in the context in 99% of the cases, as anything that was dosed in units shouldn't be dosed by volume and vice versa, but the
JCAHO recommendations are usually based on actual errors that have occurred. One has to safety-proof the system for the lowest common denominator, be it physician, nurse, tech or pharmacist. It is easier to limit the number of abbreviations used than it is to ensure every person in the hospital can read and comprehend an order.