No, right auth is when you prefer hierarchy. Left auth is bureaucracy. Left and right is how much you think capital is a commodity.
Personally, I’m market socialist so I believe that workers should directly own their labor thru worker cooperatives. Right winger believe that owning capital indefinitely is their right which only leads to capital accural and oligarchy.
I’d argue they are anarchist socialist, at least in terms of intellectual property as they are collaborative and free to access and use. With permissive licenses being more anarchist capitalist as you can capture and make a project uncollaborative.