Would a doctor classify it as an addiction if you do something to escape or for a release?

Addiction. I agree with dr. Fowler. In the diagnostic & statistical manual, "addiction" isn't used. But it equates to a severe "substance use" d/o, with both tolerance (using more & more of the substance or behavior to get the same effect) and withdrawal (physical symptoms when the substance/behavior is stopped). Also, pursuing the substance/behavior despite harm to health & the rest of one's life, etc.
Although. This may occur with either abuse or addiction, this behavior alone is not sufficient to be defined as an addiction.