Leftists -- specifically, socialists -- created the name "capitalism" as a name for a real system which existed in the developed world in the 19th Century, in which the economic order was actively managed to favor the interest of the capital-holding class. The idea that this was system had something to do with "free markets" was part of the propaganda of defenders of that real, very much crony, system in response to that critique.
Its kind of weird to call the real thing which actually existed that "capitalism" was coined to refer to as anything other than real capitalism, while referring to amorphous, ill-defined, fantasy as "real capitalism".
"State capitalism" is a different thing entirely -- it usually shows up in critiques by leftists, particularly non-Leninist socialists, of Leninist(incl. Stalinist/Maoist)-style "Communism".