The "sole purpose" thing is nothing more than a red herring. It makes no difference what a things purpose it. It only matters what it does. Playing video games and engaging in any activity you find rewarding, fun, satisfying, or gain a sense of accomplishment from alters your brain chemistry in pretty much the same way as addictive recreational drugs. There's really not much difference between a substance that triggers your brains reward pathways and an activity which does so.
Do a little powder cocaine with your eyes wide open about what is happening. Cocaine doesn't really provide any euphoria, just a feeling similar to a cup of coffee, but it does provide a model for distilled addiction. The addictive properties are strong, so blatant you'd have to be particularly obtuse to not recognize them, and fortunately mostly subside as quickly as they come on. There's a constant feeling of needing/wanting something, no different than the feeling you get when you need a cup of coffee in the morning, something sweet, a snack, a drink, something to do, or even an unspecified impulse where you aren't sure what the answer is. The answer if you've recently used cocaine is pretty much always cocaine and the only euphoria is the same feeling of satisfaction that comes with finding the answer in any of those other situations. Just like anything else that provides that feeling of satisfaction the more you find that answer the more you solidify the neural pathways associated with it.
Now having observed that, realizing what is happening and recognizing the sensation and behavior for a couple rounds, drop the powder (this is easier if you know what is happening and can recognize your brain trying to justify getting more). Cocaine will gradually be the answer less and less in your mind first being replaced by the most deeply entrenched things. These are your strongest addictions in more or less the order they appear, generally it starts with sleep, water, food, love, sex. Your brain justifies (quite easily as you are addicted to these for good reason) saying you haven't had these things in a long time. But note the need/want feeling is nearly identical to your urge for cocaine and the satisfaction of stuffing your face and/or finding that cozy bed is also nearly identical to the feeling of satisfaction when you found the more cocaine that was the answer. As the pieces of your life come back on the radar you will recognize that every one of them is the same.
Everything in life is nothing more than your brain triggering want feelings for things it has associated with reward pathways and triggering highly addictive neurotransmitters to trigger a feeling of satisfaction in response. Overdo it (where it is anything that makes you feel satisfied) at too great a frequency and your brain will become less sensitive to the stimuli in the same way you develop tolerance for a drug or your body adapts to attempts at diet manipulation or you become desensitized to violence with frequent exposure. But every so often you feel like you want something, your brain cycles through the potential paths to reward, the more highly rewarding and/or frequently rewarding the more you'll feel like you want it.
It gets confusing about there, because if you've logically concluded you don't want the thing when your brain requests it, you reinforce negative connections to the idea and your brain will request it less often and the urge will fade over time (but the more rewarding the thing is when/if you do finally have it and the more likely your brain is to "refresh" those neglected but existing reward links). If you decide against it but wish you didn't have to, your brain will do what I call a "shouldn't but I wanna" association and you'll find yourself making justifications for rewarding yourself with the thing, the easiest go to justifications being "it's been a long time", "look how good I've been, I can reward myself with this something something moderation", and "the bad thing is because of circumstance x, if I do y that changes the circumstance I'll get the good without the bad". Note, whether or not the justifications happen to be logically sound and accurate or faulty logic is irrelevant to this mechanism.
If the thing is highly rewarding in a consistent manner, you will not only find more justifications popping in your head, there will be physical responses to push you to seek the thing. For example, caffeine addiction causes you to feel more sluggish and tired in the morning which compliments the stimulating effect and the enhanced brain functions resulting from caffeine; nicotine addiction causes a feeling of edginess and lack of focus which compliments the increased focus and relaxation effects of nicotine; cocaine addiction causes a feeling of dissatisfaction and fatigue, narcotic pain killer addiction causes feelings of pain, addiction to a physical activity will make you feel down, lazy, and discontent with stillness; addiction to social interaction such as love will cause you feel empty, alone, and to "miss them."
So, with that said. EVERYTHING is addictive. Your brain changes permanently in response to anything that triggers a strong positive or negative response repeatedly over time for the same reason it changes to make more and more permanent memories of information you are exposed to repeatedly and changes more rapidly the more strongly those memories are associated with other things in your brain.
Also, whether it is it's sole purpose or not, everything you put in your body is a chemical and pretty much everything alters your brain chemistry. Water actually has one of the most dramatic chemical impacts on your brain of anything you ingest. It has the magical property of physically facilitating more rapid transport of all neurochemicals in the brain! That is some seriously addictive stuff, you crave it even more strongly than food/sleep/sex! How much do you want to bet imaging the brain of people who consistently drink 8, 8oz glasses of day for a prolonged duration would show zillions of permanent changes to their brain. We should open a clinic to treat adequate hydration addicts immediately!