I think a reoccuring problem here is that there really isn't a consistent definition of 'facism'. The miriam-webster definition is basically just describing any authoritarian state, including the USSR, North Korea, or Uganda. Some people try to add a racialist component to it, but then struggle to apply that definition to governments traditionally understood to have been fascist, like Pinochet's Chile.
Eco's got about as rigorous a definition as you ever see, but it's pretty broad and could easily apply to any nostalgic / conservative movement. (Which is fairly common in authoritarian ones anyway.)
The people who apply a racialist component to it also then get uncomfortable when you point out that the PRC is basically a fascist state under Han Chinese dominion.