If it's not anarchism then what would you call a completely stateless system that still has a similar free market economy to what we have today? As far as I know, Laissez-faire system still has a state. The group I know is mostly well-off and educated people, not some edgy 16yos. Maybe they've taken anarchism and given their own spin to it. I guess it doesn't really matter. I should have said the "anarchists" I know and some groups I've seen online support absolute free speech.
Most anarchists around the world would say that it's not possible except for mutualists. What you're talking about is what Americans call libertarianism.