Ironically, depression is often caused by other underlying disorders (e.g. Autism), yet if the symptoms are met there will be a comorbid diagnosis, rather than saying that depression is just a symptom. It can be difficult to disentangle cause and effect for a lot of comorbid diagnoses, and also many existing treatments address symptoms rather than causes. So the distinction you are making hardly exists in the field at large (at this time).
As for the deeper question, "could an otherwise healthy person develop gaming addiction?", I'm inclined to answer yes. It of course depends on how you define "otherwise healthy", as I'm sure we could identify genetic risk factors for gaming addiction, and I bet they will correlate with risk factors for addiction, ADHD, etc. However I've certainly seen people who were functioning well but perhaps a bit bored at school/work or a bit anxious in social situations take a complete nose dive when they got hooked on the "right" game.
I'm curious if you would say the same thing about gambling addiction?
Edit: just to add I am 100% against anything like what China is doing. I think we need more resources to help those who are spending more time gaming than they would like, which involves recognizing it as a legitimate issue. I also wouldn't mind some restrictions on the tactics game companies can take to make their games addictive, although the details of that would require careful consideration.