No, that’s authoritarian left as pure left is communal ownership. Market left would fit better and would use worker and consumer cooperatives and market syndicates rather than state ownership. I hate how Marxists convinced everyone they were the only form of socialism despite people like Pierre-Joseph Proudhon coming before him.
It’s because Marxists/Communists and Capitalists like to pretend Anarchism isn’t half of socialism because it hurts their arguments.