That lancet article very well refutes the point you are trying to make. The term “chemical addiction” is not really used anymore because it really just refers to mechanisms of chemical dependence, which are neither necessary or sufficient to cause addiction on their own.
There has been a major shift in how addiction is understood in modern research, but you have it backwards- your perspective of chemical addiction or direct chemical mechanism being important is the old discredited concept, not the new one, which sees it as a psychological process that requires no direct chemical mechanism at all.
The chemical dependence is quite a factor in the psychological process you refer to. It nudges and reinforces this psychological behaviour. You can broaden the definition to include addiction without chemical dependence, but it does not mean you can omit the chemical dependence factor from the equation.
This chemical dependence is often the number one reason people cannot physically stop their psychological process. Potential effects from quitting include simply dying, or with less strong chemical dependence, feeling anxiety or generally ill.