I honestly don't know how to label myself, all I know is I'm "left of center" as far as the US goes. I might not even be a "true" leftist. I know I'm not a neoliberal though that's for sure...
I know that in general human nature leads the worst actors to positions of real power so I've never believed that the far end of the spectrum could ever work, but I also know for the same reason the "middle road" so-called centrist position in the US is just conservativism "lite." I won't even touch on the "right/conservativism" as that isn't the question and it's basically monarchy & hierarchy worship.
I think people in general aren't educated enough and are too apathetic to care about the "big picture" and mostly care about what happens in their own life in their own communities so decisions made in respect to what happens on a large scale for an entire country are left to manipulative actors swaying those that don't care to truly understand any particular situation which makes any difficult process of transitioning to a more "leftist" government infinitely more dubious.
I like the idea of worker co-ops as far as labor and "market" is concerned. I don't believe that states can properly attend to the luxury desires of any given population, I think the "greed incentive" of individuals works there. People want a thing and you want money so you make the thing, but I believe governance has a role in ensuring those lead by the greed incentive are kept in check. That leads back to the "worst actors" seeking positions of power and that power is required to keep the greedy in check so I really don't know the ideal way to handle that. The worker co-ops should keep the CEO wrecking a company long term for their short term gain and golden parachute exit out of the equation at least.
As far as anything about equality goes, I think it's stupid that it's even a question. We are all humans living on a ball of rock shooting through the galaxy, we are in the same boat and deserve the same treatment/opportunities as anyone else. Those with a "leg up" monetarily have an "unfair" advantage, but the solution to leveling the playing field is far above my pay grade to know.
I haven't gone into any "deep dives" of the "flavors" of leftism which is probably why I don't know what I am considered, but I'm not sure it matters either as I know to a degree what I believe works or doesn't, I don't think I need a lable.