I'm am sorry but that is incorrect, the system works as follows:
Planned Economy: Only you can build factories
State Capitalism: You can build factories, but so can the capitalists
Interventionism: Only capitalists can build factories, but you can invest in their projects (if you have AHD) and build railroads.
Laissez Faire: You cant do shit
Being a great power has nothing to do with whether or not you can build factories, if you couldn't build them with a State capitalist government, then you did something wrong.