5-6 drinks of what proof, over what period of time? 5-6 drinks over the course of a party that lasts for several hours, with food, isn't too bad. 5-6 drinks every night, you're a pisshead.
The notion of 'drinking' as against 'getting ratarsed' is that in the first instance, drink is enjoyable, but mainly an adjunct to something else - like a nice meal, a party, or a relaxing evening in. Getting ratarsed isn't about appreciating the drink - it's about using it to just get off your face. If you need to get off your face regularly, you've got problems, and the drink is going to be one more on top of them.