On a surface level what you've said sounds pretty reasonable & its hard to argue with it.
However, IMO capitalism is about people pursuing whatever economic goals they desire regardless of how the pursuit of those goals affected their fellow man or the environment. This ideals & ideas were spawned in an age of expansionism, colonialism, slavery & conquest that's never before & never since been seen (Genghis Khan has nothing on the European rout of most of the world from the 1500's to 1900's.
To say that just a few minor tweaks & making corporations a little more responsible for their actions is all modern capitalism/corporatism really needs is dangerously naive. Its also what politicians have been promising for centuries & hasn't worked yet.
Definitely some hybrid, I don't know how folks get so gung-ho about so-and-so from the past (Marx for instance) when its painfully obvious that these figures, however large in their time were pretty far off the mark even then. I'm not hubristic enough to claim some perfect system that will make Earth into a uptopia, I can mostly only note what is not working & note too that simplistic band-aid solutions will inevitably fail.