Leftist: a person with left-wing political views
Left-Wing: the section of a political party or system that advocates for greater social and economic equality, and typically favors socially liberal ideas; the liberal or progressive group or section.
There you go. Those are the definitions provided from the Oxford English Dictionary. These clearly fall in line with what most people think of the terms and coincide neatly with what the above person was suggesting — those publications are left-wing.
> being unable to accurately place political ideologies on the political spectrum
This is largely because the the left-right political spectrum is bogus. Clearly you think you're a "real" leftist even though your idea of leftism is quite clearly contradictory to its definition which was my whole point. You had an opportunity to elucidate your point of view but instead you expect other people not only to perform that labor for you, but get upset when it doesn't match your head canon. No one else knows what "Leftist" means to you except you.
> Incidentally, assinine is veering off topic to try to fabricate a shit-flinging contest over easily defined vocabulary terms. You certain you've got a handle on who the ass is in this exchange?
The whole conversation is about what words mean, so no, it's not veering off topic.
If one person says "These publications are left-wing" and you say "I'm a real leftist and I say they're not," it is not unreasonable to ask you to define those terms. You are contradicting them, it absolutely is your fault when you don't define what those terms mean from your point of view. So I once again ask you, what is a "leftist" and what is "left-wing," from your point of view? If you can't even define them, how can you claim to be them?