I think this list is accurate by our modern definitions of fascism. But did actual facists define it this way? Moreover, did the nazis actually have the same

I think this list is accurate by our modern definitions of fascism. But did actual facists define it this way? Moreover, did the nazis actually have the same ideological\philosophical underpinnings as italian facism? I'm not sure this is the same case. I think italian facism evolved from sydcalism and I cant find any similar root in National Socialism... Are we just lumping mid 20th century nationalist boogeymen into a very poorly defined bucket? I think these attributes also apply to a variety of decidedly not facist states.