No they weren't, and never claimed to be.Pinochet, an old buddy of Thatcher, was none of those things. Neither was Franco.
Compare the various regimes espousing the socialist/communist ideology of equality which are in fact just dictatorships with right wing leanings and a clique of the well off aka Animal Farm. And never ever try to speak out in a socialist environment, that level of opinion and alternative thought from the proletariat is just not tolerated.