That is not the definition. https://en.wikipedia.org/wiki/Socialism
> You can have socialism with markers still, which is what is done in syndicalist style socialism.
Co-ops have never operated outside the bounds of a democracy with a State. Notwithstanding, they don't appear to scale very well. The most common use case is related to agriculture, though there's a single mid-scale company in Spain that ancoms like to tout.
No one wants to take on all the risk of starting a business while socializing all the profit, hence, we don't usually see these spring up. But if the model is so good for workers, naturally, you'd expect popularity to rise. They've been around a long time and we're still waiting for that to happen.
> You can have limited social programs as a form of socialism as per social democrats.
That's just mixed economy, part of the fabric of Liberalism. Socialism necessitates the elimination of Capitalism.
