No - that's exactly describing Stabler, not Joe. The Snake was a boozing, partying, "who gives a care" guy, who only got to play because he happened to be an extremely accurate, smart and gutsy passer. While I won't say Namath was a horrible QB, he clearly benefited from his off the field stuff (i.e. Broadway Joe, the guarantee, the clubs, his looks, the acting, etc.) and frankly that had as much to do with his HOF enshrinement as anything. Stabler, on the other hand, was not so fortunate; in fact his partying contributed to his demise.
RIP Snake - you were a character and a baller.