They could possibly be one and the same. It's just a matter of definition.
While I attended AA meetings and observed the people there over a period of 13 years, I noticed that the addiction to alcohol had morphed into cigarette smoking, coffee drinking, and sex(no they didn't have sex during the meetings, wiseass
). The point is that those with addictive personalities, or as Thor put it "passionate personalities," found other ways to be addicted. That's what addicts do.
In my own case, video games become yet another addiction because it was an escape from reality. If someone can't drink just one beer, smoke just one doobie, or play video games for only a couple of hours a week without binging and going over the deep end, that person has a problem - label it whatever you want.
I'm not offended by the "weak will" comment but I would like to point out that not everyone has a will of iron. Some people are not able to pull themselves up by the bootstraps and therefore need help because they're screwed up, whether it's genetically, chemically, emotionally, mentally, or a combination thereof.