It got the basic idea right, a nicotine patch will give the benefits of nicotine. And there are some, it's pretty much like caffeine, very harmless on its own.
But of course you can get addicted to it. Theres not necessarily a physical addiction, but if your ape brain connects a nicotine patch with some perceived or real benefit, that is all you need for a habit right there. You can get the same from chocolate.
So sure, withdrawal will not kill you, but it can still be habit forming. And you just need to look around to know there are plenty of people with difficulty to get rid of those.