Good joke.
Funnily enough, American cops don't tell you to count to ten. They just tell you to blow until told to stop. This is somewhat stressful, as you're rapidly running out of air, with no end in sight.
Also, in practice (at least in the US), the breathalyzer is the last thing they do. It comes after noting an odor of alcohol, glassy eyes, slurred speech, etc. And after the standardized field sobriety tests. At which point, a faulty breathalyzer can't save you. Honestly I'm not sure why they bother.
Still a good joke, though.