That’s a model of addiction as a “habit” with a loss of self-control. But the other definition of addiction is really more like “continued use of the substance is required to eliminate a syndrome which only occurs when use of the substance is reduced or discontinued.” I think the latter model is more useful because there are tons of medications out there where responsibly using them leads to addiction. Even SSRIs could be addictive under that definition.
What you describe is called physical dependence, which differs from addiction because it does not involve getting high, does not involve increasing doses to chase the feeling.
But it does mean you can't just stop cold turkey without risk of harm. This is true of benzos, and also many antidepressants (which are very different from benzos) and other psychiatric meds. Often a long period of tapering is required, with "hyperbolic" dosing reduction (each reduction is a small percentage of the previous dosage). This is called a "hyperbolic taper."
As an example, for some benzos, you drop the dosage by 5-10% reduction (from the previous dose, not the original) every 2 to 4 weeks. So D = D0*(1-X)^n where D0 is original dose, X is fraction reduced per period, N is the period number. This should be done under medical supervision.
