Context is key with scripture. What did the original audience understand this instruction to mean?
When a doctor tells you to abstain from alcohol he is referring specifically to drinking alcohol, not alcohol in hand cleansers, perfumes or mouthwash. In the context of the scripture it is referring to the specific situation described above and was not a cover all. If it was intended as a prescriptive instruction where would you stop? How would you dress a wound, deal with menstruation, clean teeth with bleeding gums? What would you do if you accidentally swallowed blood from a cut lip?
This is the issue when you take a line of scripture and do not fully understand the purpose or background you are in danger of going beyond the things written which is a popular witness quote.